Edit Profile (opens in new tab) Mishra, Shashi Kant Compute Distance To: Compute Author ID: mishra.shashi-kant Published as: Mishra, S. K.; Mishra, Shashi Kant; Mishra, Shashi K.; Mishra, . S. K.; Mishra, Shashi; Mishra, S. Homepage: https://www.bhu.ac.in/science/mathematic/skmishra.php External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp Documents Indexed: 178 Publications since 1993, including 7 Books 6 Contributions as Editor Co-Authors: 56 Co-Authors with 157 Joint Publications 1,489 Co-Co-Authors all top 5 Co-Authors 20 single-authored 35 Wang, Shouyang 13 Laha, Vivek 12 Lai, Kinkeung 12 Rautela, J. S. 11 Jaiswal, Monika 11 Mukherjee, Rathindra Nath 9 Rueda, Norma G. 9 Upadhyay, Balendu Bhooshan 8 Ram, Bhagwat 7 Pandey, Yogendra 7 Pant, Rajendra Prasad 6 Giorgi, Giorgio 5 Shukla, Kalpana 5 Singh, Yadvendra 4 Le Thi, Hoai An 4 Maurya, J. K. 4 Mohapatra, Ram Narayan 4 Verma, Ram U. 3 Gupta, Pooja 3 Noor, Muhammad Aslam 3 Panda, Geetanjali 3 Porwal, Sandeep Kumar 3 Samei, Mohammad Esmael 3 Shamary, Bader Al 3 Shi, Jianming 2 Ansary, Md Abu Talhamainuddin 2 Antczak, Tadeusz 2 Chakraborty, Suvra Kanti 2 Hamdi, Abdelouahed 2 Joshi, Bhuwan Chandra 2 Shahi, Avanish 2 Sharma, Nidhi 2 Singh, Kunwar V. K. 1 Ahmadi, Ahmad 1 Ansari, Qamrul Hasan 1 Coladas Uria, Luis 1 Dinh The Luc 1 Gao, Lianbo 1 Hadjisavvas, Nicolas 1 Hajiseyedazizi, Sayyedeh Narges 1 Jha, Prakash Chandra 1 Kumar, Pankaj 1 Maréchal, Pierre 1 Mishra, Priyanka 1 Momani, Shaher M. 1 Pham Dinh Tao 1 Pradhan, P. K. 1 Rukherjee, R. N. 1 Singh, Sanjeev-Kumar 1 Singhi, Vinay 1 Slimani, Hachem 1 Tripathy, Binod Chandra 1 Yang, Fengmei 1 Nguyen Dong Yen 1 Youness, Ebrahim A. 1 Zhao, Yingxue all top 5 Serials 16 Journal of Mathematical Analysis and Applications 11 Optimization 11 European Journal of Operational Research 7 Journal of Systems Science and Complexity 7 Optimization Letters 6 Journal of Optimization Theory and Applications 6 Opsearch 6 YUJOR. Yugoslav Journal of Operations Research 6 Journal of Inequalities and Applications 5 Analele Universității București. Matematică 5 Journal of Computational and Applied Mathematics 5 Journal of Global Optimization 5 Advances in Nonlinear Variational Inequalities 4 Journal of Nonlinear and Convex Analysis 3 Indian Journal of Pure & Applied Mathematics 3 Communications on Applied Nonlinear Analysis 3 International Journal of Pure and Applied Mathematics 3 Journal of Applied Mathematics and Computing 3 Pacific Journal of Optimization 3 Nonconvex Optimization and Its Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Functional Analysis and Optimization 2 Operations Research Letters 2 Annals of Operations Research 2 Panamerican Mathematical Journal 2 International Journal of Computer Mathematics 2 Journal of Applied Analysis 2 Journal of Interdisciplinary Mathematics 2 Advanced Modeling and Optimization 2 Annals of the University of Bucharest. Mathematical Series 2 Investigations in Mathematical Sciences 2 Springer Optimization and Its Applications 1 Computers & Mathematics with Applications 1 Journal of the Australian Mathematical Society, Series B 1 Applied Mathematics and Computation 1 Calcolo 1 Control and Cybernetics 1 International Journal of Mathematics and Mathematical Sciences 1 Quaestiones Mathematicae 1 Soochow Journal of Mathematics 1 Journal of Information & Optimization Sciences 1 Mathematical and Computer Modelling 1 Filomat 1 Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest 1 Vietnam Journal of Mathematics 1 Optimization Methods & Software 1 Positivity 1 Mathematical Methods of Operations Research 1 Mathematical Inequalities & Applications 1 Communications of the Korean Mathematical Society 1 Far East Journal of Mathematical Sciences 1 Nonlinear Analysis Forum 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 International Journal of Operations Research (Taichung) 1 Applied Mathematics & Information Sciences 1 Journal of Advanced Mathematical Studies 1 International Journal of Optimization: Theory, Methods and Applications 1 Springer Proceedings in Mathematics & Statistics 1 Journal of the Operations Research Society of China 1 International Journal of Applied and Computational Mathematics 1 AIMS Mathematics all top 5 Fields 172 Operations research, mathematical programming (90-XX) 62 Calculus of variations and optimal control; optimization (49-XX) 24 Real functions (26-XX) 8 Convex and discrete geometry (52-XX) 6 General and overarching topics; collections (00-XX) 5 Numerical analysis (65-XX) 3 Combinatorics (05-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Mathematical logic and foundations (03-XX) 2 Ordinary differential equations (34-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 122 Publications have been cited 871 times in 421 Documents Cited by ▼ Year ▼ On multiple-objective optimization with generalized univexity. Zbl 0911.90292Mishra, S. K. 34 1998 Second order symmetric duality in mathematical programming with \(F\)-convexity. Zbl 0982.90063Mishra, S. K. 34 2000 Vector variational-like inequalities and non-smooth vector optimization problems. Zbl 1134.49003Mishra, S. K.; Wang, S. Y. 32 2006 Invexity and optimization. Zbl 1155.90016Mishra, Shashi K.; Giorgi, Giorgio 31 2008 Higher-order generalized invexity and duality in mathematical programming. Zbl 1056.90136Mishra, Shashi K.; Rueda, Norma G. 29 2000 Higher-order generalized invexity and duality in nondifferentiable mathematical programming. Zbl 1175.90318Mishra, Shashi K.; Rueda, Norma G. 25 2002 On efficiency and duality for multiobjective variational problems. Zbl 0820.90095Mishra, S. K.; Mukherjee, R. N. 25 1994 Nondifferentiable multiobjective programming under generalized \(d\)-univexity. Zbl 1067.90150Mishra, S. K.; Wang, S. Y.; Lai, K. K. 23 2005 On generalized convex multi-objective nonsmooth programming. Zbl 0858.90111Mishra, S. K.; Mukherjee, R. N. 23 1996 Second order generalized invexity and duality in mathematical programming. Zbl 0914.90239Mishra, S. K. 20 1997 Multiobjective second order symmetric duality with cone constraints. Zbl 0971.90103Mishra, S. K. 19 2000 Optimality and duality for multiple-objective optimization under generalized type I univexity. Zbl 1090.90173Mishra, S. K.; Wang, Shou-Yang; Lai, K. K. 17 2005 On vector variational-like inequality problems. Zbl 1078.49007Mishra, S. K.; Noor, M. A. 17 2005 Optimality and duality in nondifferentiable and multiobjective programming under generalized \(d\)-invexity. Zbl 1119.90071Mishra, S. K.; Wang, S. Y.; Lai, K. K. 17 2004 Nondifferentiable minimax fractional programming under generalized univexity. Zbl 1030.90127Mishra, S. K.; Wang, S. Y.; Lai, K. K.; Shi, J. M. 16 2003 Some nondifferentiable multiobjective programming problems. Zbl 1148.90012Mishra, S. K.; Noor, M. A. 15 2006 Generalized convex composite multi-objective nonsmooth programming and conditional proper efficiency. Zbl 0855.90115Mishra, S. K.; Mukherjee, R. N. 15 1995 Non-differentiable higher-order symmetric duality in mathematical programming with generalized invexity. Zbl 1075.90075Mishra, S. K. 14 2005 Duality in vector optimization in Banach spaces with generalized convexity. Zbl 1119.90049Mishra, S. K.; Giorgi, G.; Wang, S. Y. 13 2004 On non-smooth \(\alpha\)-invex functions and vector variational-like inequality. Zbl 1145.90066Mishra, S. K.; Wang, S. Y.; Lai, Kin Keung 12 2008 Duality for nonsmooth semi-infinite programming problems. Zbl 1280.90128Mishra, S. K.; Jaiswal, M.; An, Le Thi Hoai 12 2012 Multiobjective control problem with \(V\)-invexity. Zbl 0956.90037Mishra, S. K.; Mukherjee, R. N. 12 1999 Multiple objective fractional programming involving semilocally type I-preinvex and related functions. Zbl 1113.90156Mishra, S. K.; Wang, S. Y.; Lai, K. K. 12 2005 Duality for multiobjective fractional variational problems. Zbl 0820.90094Mishra, S. K.; Mukherjee, R. N. 12 1994 On approximately star-shaped functions and approximate vector variational inequalities. Zbl 1366.90191Mishra, S. K.; Laha, Vivek 11 2013 Generalized convexity and vector optimization. Zbl 1162.49001Mishra, Shashi Kant; Wang, Shou-Yang; Lai, Kin Keung 11 2009 Lagrange multipliers saddle points and scalarizations in composite multiobjective nonsmooth programming. Zbl 0868.90099Mishra, S. K. 11 1996 Second-order duality for nondifferentiable minimax programming involving generalized type I functions. Zbl 1278.90433Mishra, S. K.; Rueda, N. G. 10 2006 V-invex functions and vector optimization. Zbl 1142.90002Mishra, Shashi Kant; Wang, Shouyang; Lai, Kin Keung 10 2008 Optimality and duality with generalized semi-univexity. Zbl 1141.90573Mishra, S. K.; Giorgi, G. 10 2000 Nonsmooth semi-infinite programming problem using limiting subdifferentials. Zbl 1274.90442Mishra, S. K.; Jaiswal, M.; Le Thi, H. A. 10 2012 Second order symmetric duality in multiobjective programming involving generalized cone-invex functions. Zbl 1110.90076Mishra, S. K.; Lai, K. K. 9 2007 Decomposition methods based on augmented Lagrangians: a survey. Zbl 1247.90249Hamdi, Abdelouahed; Mishra, Shashi K. 9 2011 On duality for mathematical programs with vanishing constraints. Zbl 1348.90623Mishra, S. K.; Singh, Vinay; Laha, Vivek 9 2016 Duality for nonsmooth optimization problems with equilibrium constraints, using convexificators. Zbl 1349.90837Pandey, Yogendra; Mishra, Shashi Kant 9 2016 Generalized \(\alpha\)-invexity and nondifferentiable minimax fractional programming. Zbl 1127.26005Mishra, S. K.; Pant, R. P.; Rautela, J. S. 8 2007 Some relations between vector variational inequality problems and nonsmooth vector optimization problems using quasi efficiency. Zbl 1280.49020Mishra, S. K.; Upadhyay, B. B. 8 2013 Multiobjective programming with semilocally convex functions. Zbl 0864.90111Mukherjee, R. N.; Mishra, S. K. 8 1996 Generalized fractional programming problems containing locally subdifferentiable and \(\rho\)-univex functions. Zbl 0882.90119Mishra, S. K. 8 1997 Nonsmooth minimax programming problems with \(V\)-\(r\)-invex functions. Zbl 1189.26014Mishra, S. K.; Shukla, Kalpana 7 2010 Generalized vector variational-like inequalities and nonsmooth vector optimization of radially \((\eta,\alpha)\)-continuous functions. Zbl 1236.49020Mishra, S. K.; Laha, Vivek; Verma, R. U. 7 2011 Pseudoconvex complex minimax programming. Zbl 0980.90098Mishra, S. K. 7 2001 Generalized convexity and vector optimization. Reprint of the 2009 hardback ed. Zbl 1207.49001Mishra, Shashi Kant; Wang, Shou-Yang; Lai, Kin Keung 7 2009 Complex minimax programming under generalized convexity. Zbl 1106.90075Mishra, S. K.; Wang, S. Y.; Lai, K. K. 7 2004 On strong KKT type sufficient optimality conditions for nonsmooth multiobjective semi-infinite mathematical programming problems with equilibrium constraints. Zbl 1408.90276Pandey, Yogendra; Mishra, S. K. 7 2016 On strongly generalized convex functions of higher order. Zbl 1416.26023Mishra, S. K.; Sharma, Nidhi 7 2019 On \(V-r\)-invexity and vector variational-like inequalities. Zbl 1289.49016Mishra, S. K.; Laha, Vivek 6 2012 Generalized proper efficiency and duality for a class of nondifferentiable multiobjective variational problems with \(V\)-invexity. Zbl 0867.90097Mishra, S. K. 6 1996 Optimality conditions and duality for semi-infinite mathematical programming problems with equilibrium constraints, using convexificators. Zbl 1434.90207Pandey, Yogendra; Mishra, S. K. 6 2018 On sufficiency and duality for generalized quasiconvex nonsmooth programs. Zbl 0868.90100Mishra, S. K. 6 1996 Sufficient optimality criteria and duality for multiobjective variational problems with \(V\)-invexity. Zbl 0820.90096Mukherjee, R. N.; Mishra, S. K. 6 1994 Generalized pseudo-convex minmax programming. Zbl 1141.90527Mishra, S. K. 5 1998 An extension of branch-and-bound algorithm for solving sum-of-nonlinear-ratios problem. Zbl 1259.90133Gao, Lianbo; Mishra, Shashi K.; Shi, Jianming 5 2012 On constraint qualifications for multiobjective optimization problems with vanishing constraints. Zbl 1354.90129Mishra, S. K.; Singh, Vinay; Laha, Vivek; Mohapatra, R. N. 5 2015 Pseudolinear fractional minmax programming. Zbl 0836.90139Mishra, S. K. 5 1995 Generalized continuous nondifferentiable fractional programming problems with invexity. Zbl 0846.90108Mishra, S. K.; Mukherjee, R. N. 5 1995 Optimality conditions and duality for semi-infinite mathematical programming problem with equilibrium constraints. Zbl 1353.90161Mishra, S. K.; Jaiswal, M. 5 2015 Symmetric duality for mathematical programming in complex spaces with \(F\)-convexity. Zbl 1033.90130Mishra, Shashi K.; Rueda, Norma G. 5 2003 Multiobjective programming under generalized type I univexity. Zbl 1084.90529Mishra, Shashi K.; Rueda, Norma G.; Giorgi, Giorgio 4 2003 Duality for multiple objective fractional subset programming with generalized \((\Gamma\mkern-15mu-,\rho,\sigma,\theta)\)-V-Type-I functions. Zbl 1144.90029Mishra, S. K. 4 2006 Efficiency and duality in nonsmooth multiobjective fractional programming involving -pseudolinear functions. Zbl 1289.90217Mishra, S. K.; Upadhyay, B. B. 4 2012 A note on the paper “On approximately star-shaped functions and approximate vector variational inequalities”. Zbl 1282.90198Mishra, S. K.; Laha, Vivek 4 2013 Optimality conditions and duality for nondifferentiable multiobjective semi-infinite programming. Zbl 1302.90200Mishra, Shashi Kant; Jaiswal, Monika 4 2012 Complex minimax programming under generalized type-I functions. Zbl 1127.90075Mishra, S. K. 4 2005 On nonsmooth V-invexity and vector variational-like inequalities in terms of the Michel-Penot subdifferentials. Zbl 1347.90080Laha, Vivek; Al-Shamary, Bader; Mishra, S. K. 4 2014 Saddle point optimality criteria for mathematical programming problems with equilibrium constraints. Zbl 1409.90192Singh, Yadvendra; Pandey, Yogendra; Mishra, S. K. 4 2017 Some properties of semi \(E-b\)-vex functions. Zbl 1209.26015Mishra, S. K.; Mohapatra, R. N.; Youness, E. A. 4 2011 Symmetric duality for a class of nondifferentiable multi-objective fractional variational problems. Zbl 1136.49025Mishra, S. K.; Wang, S. Y.; Lai, K. K. 3 2007 Optimality and duality in complex minimax optimization under generalized \(\alpha\)-invexity. Zbl 1204.26018Mishra, S. K.; Rautela, J. S.; Pant, R. P. 3 2010 Optimality conditions for multiple objective fractional subset programming with invex and related non-convex functions. Zbl 1225.26021Mishra, S. K.; Jaiswal, M.; Pankaj 3 2010 Generalized invexity-type conditions in constrained optimization. Zbl 1254.90234Mishra, Shashi K.; Rueda, Norma G. 3 2011 Minimax programming under generalized \((p, r)\)-invexity. Zbl 1138.49023Mishra, S. K.; Wang, Shouyang; Lai, K. K. 3 2007 Optimality and duality for a nonsmooth multiobjective optimization involving generalized type I functions. Zbl 1149.90138Mishra, S. K.; Wang, S. Y.; Lai, K. K. 3 2008 Generalized invexity and duality in multiple objective variational problems. Zbl 0851.90106Mukherjee, R. N.; Mishra, S. K. 3 1995 Duality of mathematical programming problems with equilibrium constraints. Zbl 1474.90451Pandey, Yogendra; Mishra, S. K. 3 2017 On strong KKT type sufficient optimality conditions for multiobjective semi-infinite programming problems with vanishing constraints. Zbl 1375.90292Guu, Sy-Ming; Singh, Yadvendra; Mishra, Shashi Kant 3 2017 On vector optimization problems and vector variational inequalities using convexificators. Zbl 1409.90171Laha, Vivek; Mishra, S. K. 3 2017 Nonsmooth minimax fractional programming involving {\(\eta\)}-pseudolinear functions. Zbl 1291.90174Mishra, S. K.; Upadhyay, B. B. 3 2014 Lagrange multiplier characterizations of solution sets of constrained nonsmooth pseudolinear optimization problems. Zbl 1308.90171Mishra, S. K.; Upadhyay, B. B.; An, Le Thi Hoai 3 2014 Higher-order duality for a class of nondifferentiable multiobjective programming problems. Zbl 1114.90149Mishra, S. K.; Wang, S. Y.; Lai, K. K. 3 2004 Saddle point criteria in nonsmooth semi-infinite minimax fractional programming problems. Zbl 1402.90208Mishra, S. K.; Singh, Yadvendra; Verma, R. U. 3 2018 Optimality conditions and duality for semi-infinite programming involving semilocally type I-preinvex and related functions. Zbl 1266.90187Jaiswal, Monika; Mishra, Shashi Kant; Shamary, Bader Al 2 2012 Mixed symmetric duality in non-differentiable multiobjective mathematical programming. Zbl 1121.90111Mishra, S. K.; Wang, S. Y.; Lai, K. K.; Yang, F. M. 2 2007 On sufficiency and duration in nonsmooth multiobjective programming. Zbl 1141.90526Mishra, S. K. 2 1997 On harmonic convexity (concavity) and application to non-linear programming problems. Zbl 1246.90122Das, C.; Mishra, S.; Pradhan, P. K. 2 2003 On generalized Minty and Stampacchia vector variational-like inequalities and V-invex vector optimization in Asplund spaces. Zbl 1311.49025Mishra, S. K.; Laha, Vivek 2 2013 Second order symmetric duality for nonlinear multiobjective mixed integer programming. Zbl 1120.90036Mishra, S. K.; Wang, S. Y. 2 2005 Semistrictly preinvex fuzzy mappings. Zbl 1092.26024Mishra, S. K.; Wang, S. Y.; Lai, K. K. 2 2004 Nonsmooth minimax problems under \(V-\rho-\sigma\)-type-I invexity. Zbl 1029.46118Mishra, S. K.; Wang, S. Y.; Gupta, P.; Lai, K. K. 2 2003 Role of \(\alpha\)-pseudo-univex functions in vector variational-like inequality problems. Zbl 1333.49021Mishra, S. K.; Wang, Shouyang; Lai, K. K. 2 2007 On Minty variational principle for nonsmooth vector optimization problems with approximate convexity. Zbl 1346.90746Mishra, S. K.; Laha, Vivek 2 2016 On approximate starshapedness in multiobjective optimization. Zbl 1360.90209Al-Shamary, Bader; Mishra, S. K.; Laha, Vivek 2 2016 Gap function for set-valued vector variational-like inequalities. Zbl 1146.58009Mishra, S. K.; Wang, S. Y.; Lai, K. K. 2 2008 Duality in vector optimization under type 1 \(\alpha\)-invexity in Banach spaces. Zbl 1153.49034Mishra, S. K.; Pant, R. P.; Rautela, J. S. 2 2008 Multiobjective fractional programming involving generalized semilocally V-type I-preinvex and related functions. Zbl 1307.90184Slimani, Hachem; Mishra, Shashi Kant 2 2014 Introduction to unconstrained optimization with R. Zbl 07139512Mishra, Shashi Kant; Ram, Bhagwat 2 2019 On nonlinear multiple objective fractional programming involving semilocally type-I univex functions. Zbl 1192.90209Mishra, S. K.; Rautela, J. S. 2 2009 Optimality conditions for multiple objective fractional subset programming with \(({\mathcal F},\alpha,\rho,\theta)\)-V-type-I and related non-convex functions. Zbl 1187.90258Mishra, S. K.; Wang, S. Y.; Lai, K. K. 2 2008 Topics in nonconvex optimization. Theory and applications. Selected papers based on the presentations at the advanced training programme on nonconvex optimization and applications, Varanasi, India, March 22–26, 2010. Zbl 1216.90003 2 2011 Pseudolinear fuzzy mappings. Zbl 1121.90135Mishra, S. K.; Wang, S. Y.; Lai, K. K. 1 2007 A limited memory \(q\)-BFGS algorithm for unconstrained optimization problems. Zbl 1475.65040Lai, Kin Keung; Mishra, Shashi Kant; Panda, Geetanjali; Chakraborty, Suvra Kanti; Samei, Mohammad Esmael; Ram, Bhagwat 1 2021 On semi-infinite mathematical programming problems with equilibrium constraints using generalized convexity. Zbl 1474.90490Joshi, Bhuwan Chandra; Mishra, Shashi Kant; Kumar, Pankaj 1 2020 On strongly generalized convex functions of higher order. Zbl 1416.26023Mishra, S. K.; Sharma, Nidhi 7 2019 Introduction to unconstrained optimization with R. Zbl 07139512Mishra, Shashi Kant; Ram, Bhagwat 2 2019 On nonsmooth mathematical programs with equilibrium constraints using generalized convexity. Zbl 1474.90504Joshi, Bhuwan Chandra; Mishra, Shashi Kant; Pankaj 1 2019 Duality models for multiobjective semiinfinite fractional programming problems involving type-I and related functions. Zbl 1425.90121Gupta, Pooja; Mishra, S. K.; Mohapatra, R. N. 1 2019 Optimality conditions and duality for semi-infinite mathematical programming problems with equilibrium constraints, using convexificators. Zbl 1434.90207Pandey, Yogendra; Mishra, S. K. 6 2018 Saddle point criteria in nonsmooth semi-infinite minimax fractional programming problems. Zbl 1402.90208Mishra, S. K.; Singh, Yadvendra; Verma, R. U. 3 2018 On Minty variational principle for nonsmooth vector optimization problems with generalized approximate convexity. Zbl 1409.90169Gupta, Pooja; Mishra, S. K. 1 2018 Saddle point optimality criteria for mathematical programming problems with equilibrium constraints. Zbl 1409.90192Singh, Yadvendra; Pandey, Yogendra; Mishra, S. K. 4 2017 Duality of mathematical programming problems with equilibrium constraints. Zbl 1474.90451Pandey, Yogendra; Mishra, S. K. 3 2017 On strong KKT type sufficient optimality conditions for multiobjective semi-infinite programming problems with vanishing constraints. Zbl 1375.90292Guu, Sy-Ming; Singh, Yadvendra; Mishra, Shashi Kant 3 2017 On vector optimization problems and vector variational inequalities using convexificators. Zbl 1409.90171Laha, Vivek; Mishra, S. K. 3 2017 On duality for mathematical programs with vanishing constraints. Zbl 1348.90623Mishra, S. K.; Singh, Vinay; Laha, Vivek 9 2016 Duality for nonsmooth optimization problems with equilibrium constraints, using convexificators. Zbl 1349.90837Pandey, Yogendra; Mishra, Shashi Kant 9 2016 On strong KKT type sufficient optimality conditions for nonsmooth multiobjective semi-infinite mathematical programming problems with equilibrium constraints. Zbl 1408.90276Pandey, Yogendra; Mishra, S. K. 7 2016 On Minty variational principle for nonsmooth vector optimization problems with approximate convexity. Zbl 1346.90746Mishra, S. K.; Laha, Vivek 2 2016 On approximate starshapedness in multiobjective optimization. Zbl 1360.90209Al-Shamary, Bader; Mishra, S. K.; Laha, Vivek 2 2016 First-order duality results for a new class of nonconvex semi-infinite minimax fractional programming problems. Zbl 1343.90099Antczak, Tadeusz; Mishra, S. K.; Upadhyay, B. B. 1 2016 On constraint qualifications for multiobjective optimization problems with vanishing constraints. Zbl 1354.90129Mishra, S. K.; Singh, Vinay; Laha, Vivek; Mohapatra, R. N. 5 2015 Optimality conditions and duality for semi-infinite mathematical programming problem with equilibrium constraints. Zbl 1353.90161Mishra, S. K.; Jaiswal, M. 5 2015 Optimality and duality for minimax fractional programming with support function under \((C, \alpha, \rho, d)\)-convexity. Zbl 1309.90108Mishra, S. K.; Lai, K. K.; Singh, Vinay 1 2015 Optimality conditions and duality for multiobjective semi-infinite programming problems with generalized \((C,\alpha,\rho,d)\)-convexity. Zbl 1349.90736Jaiswal, M.; Mishra, S. K. 1 2015 Pseudolinear functions and optimization. Zbl 1326.90003Mishra, Shashi Kant; Upadhyay, Balendu Bhooshan 1 2015 Optimality conditions and duality for nondifferentiable multiobjective semi-infinite programming problems with generalized \((C,\alpha,\rho,d)\)-convexity. Zbl 1310.90115Mishra, Shashi Kant; Jaiswal, Monika; An, Le Thi Hoai 1 2015 On nonsmooth V-invexity and vector variational-like inequalities in terms of the Michel-Penot subdifferentials. Zbl 1347.90080Laha, Vivek; Al-Shamary, Bader; Mishra, S. K. 4 2014 Nonsmooth minimax fractional programming involving {\(\eta\)}-pseudolinear functions. Zbl 1291.90174Mishra, S. K.; Upadhyay, B. B. 3 2014 Lagrange multiplier characterizations of solution sets of constrained nonsmooth pseudolinear optimization problems. Zbl 1308.90171Mishra, S. K.; Upadhyay, B. B.; An, Le Thi Hoai 3 2014 Multiobjective fractional programming involving generalized semilocally V-type I-preinvex and related functions. Zbl 1307.90184Slimani, Hachem; Mishra, Shashi Kant 2 2014 On approximately star-shaped functions and approximate vector variational inequalities. Zbl 1366.90191Mishra, S. K.; Laha, Vivek 11 2013 Some relations between vector variational inequality problems and nonsmooth vector optimization problems using quasi efficiency. Zbl 1280.49020Mishra, S. K.; Upadhyay, B. B. 8 2013 A note on the paper “On approximately star-shaped functions and approximate vector variational inequalities”. Zbl 1282.90198Mishra, S. K.; Laha, Vivek 4 2013 On generalized Minty and Stampacchia vector variational-like inequalities and V-invex vector optimization in Asplund spaces. Zbl 1311.49025Mishra, S. K.; Laha, Vivek 2 2013 Duality for nonsmooth semi-infinite programming problems. Zbl 1280.90128Mishra, S. K.; Jaiswal, M.; An, Le Thi Hoai 12 2012 Nonsmooth semi-infinite programming problem using limiting subdifferentials. Zbl 1274.90442Mishra, S. K.; Jaiswal, M.; Le Thi, H. A. 10 2012 On \(V-r\)-invexity and vector variational-like inequalities. Zbl 1289.49016Mishra, S. K.; Laha, Vivek 6 2012 An extension of branch-and-bound algorithm for solving sum-of-nonlinear-ratios problem. Zbl 1259.90133Gao, Lianbo; Mishra, Shashi K.; Shi, Jianming 5 2012 Efficiency and duality in nonsmooth multiobjective fractional programming involving -pseudolinear functions. Zbl 1289.90217Mishra, S. K.; Upadhyay, B. B. 4 2012 Optimality conditions and duality for nondifferentiable multiobjective semi-infinite programming. Zbl 1302.90200Mishra, Shashi Kant; Jaiswal, Monika 4 2012 Optimality conditions and duality for semi-infinite programming involving semilocally type I-preinvex and related functions. Zbl 1266.90187Jaiswal, Monika; Mishra, Shashi Kant; Shamary, Bader Al 2 2012 Optimality conditions for multiple objective fractional subset programming with \((\rho,\sigma,\theta )\)-type-I and related non-convex functions. Zbl 1269.90101Mishra, S. K.; Jaiswal, M.; Pankaj 1 2012 Decomposition methods based on augmented Lagrangians: a survey. Zbl 1247.90249Hamdi, Abdelouahed; Mishra, Shashi K. 9 2011 Generalized vector variational-like inequalities and nonsmooth vector optimization of radially \((\eta,\alpha)\)-continuous functions. Zbl 1236.49020Mishra, S. K.; Laha, Vivek; Verma, R. U. 7 2011 Some properties of semi \(E-b\)-vex functions. Zbl 1209.26015Mishra, S. K.; Mohapatra, R. N.; Youness, E. A. 4 2011 Generalized invexity-type conditions in constrained optimization. Zbl 1254.90234Mishra, Shashi K.; Rueda, Norma G. 3 2011 Topics in nonconvex optimization. Theory and applications. Selected papers based on the presentations at the advanced training programme on nonconvex optimization and applications, Varanasi, India, March 22–26, 2010. Zbl 1216.90003 2 2011 Nonsmooth minimax programming problems with \(V\)-\(r\)-invex functions. Zbl 1189.26014Mishra, S. K.; Shukla, Kalpana 7 2010 Optimality and duality in complex minimax optimization under generalized \(\alpha\)-invexity. Zbl 1204.26018Mishra, S. K.; Rautela, J. S.; Pant, R. P. 3 2010 Optimality conditions for multiple objective fractional subset programming with invex and related non-convex functions. Zbl 1225.26021Mishra, S. K.; Jaiswal, M.; Pankaj 3 2010 Optimality and duality for nonsmooth multiobjective optimization problems with generalized \(V-r\)-invexity. Zbl 1276.90063Mishra, S. K.; Singh, Vinay; Wang, S. Y.; Lai, K. K. 1 2010 Generalized convexity and vector optimization. Zbl 1162.49001Mishra, Shashi Kant; Wang, Shou-Yang; Lai, Kin Keung 11 2009 Generalized convexity and vector optimization. Reprint of the 2009 hardback ed. Zbl 1207.49001Mishra, Shashi Kant; Wang, Shou-Yang; Lai, Kin Keung 7 2009 On nonlinear multiple objective fractional programming involving semilocally type-I univex functions. Zbl 1192.90209Mishra, S. K.; Rautela, J. S. 2 2009 On nondifferentiable minimax fractional programming under generalized \(\alpha\)-type I invexity. Zbl 1175.49007Mishra, S. K.; Rautela, J. S. 1 2009 Generalized \(\alpha \)-univexity and duality for nondifferentiable minimax fractional programming. Zbl 1155.90017Mishra, S. K.; Pant, R. P.; Rautela, J. S. 1 2009 Invexity and optimization. Zbl 1155.90016Mishra, Shashi K.; Giorgi, Giorgio 31 2008 On non-smooth \(\alpha\)-invex functions and vector variational-like inequality. Zbl 1145.90066Mishra, S. K.; Wang, S. Y.; Lai, Kin Keung 12 2008 V-invex functions and vector optimization. Zbl 1142.90002Mishra, Shashi Kant; Wang, Shouyang; Lai, Kin Keung 10 2008 Optimality and duality for a nonsmooth multiobjective optimization involving generalized type I functions. Zbl 1149.90138Mishra, S. K.; Wang, S. Y.; Lai, K. K. 3 2008 Gap function for set-valued vector variational-like inequalities. Zbl 1146.58009Mishra, S. K.; Wang, S. Y.; Lai, K. K. 2 2008 Duality in vector optimization under type 1 \(\alpha\)-invexity in Banach spaces. Zbl 1153.49034Mishra, S. K.; Pant, R. P.; Rautela, J. S. 2 2008 Optimality conditions for multiple objective fractional subset programming with \(({\mathcal F},\alpha,\rho,\theta)\)-V-type-I and related non-convex functions. Zbl 1187.90258Mishra, S. K.; Wang, S. Y.; Lai, K. K. 2 2008 Second order symmetric duality in multiobjective programming involving generalized cone-invex functions. Zbl 1110.90076Mishra, S. K.; Lai, K. K. 9 2007 Generalized \(\alpha\)-invexity and nondifferentiable minimax fractional programming. Zbl 1127.26005Mishra, S. K.; Pant, R. P.; Rautela, J. S. 8 2007 Symmetric duality for a class of nondifferentiable multi-objective fractional variational problems. Zbl 1136.49025Mishra, S. K.; Wang, S. Y.; Lai, K. K. 3 2007 Minimax programming under generalized \((p, r)\)-invexity. Zbl 1138.49023Mishra, S. K.; Wang, Shouyang; Lai, K. K. 3 2007 Mixed symmetric duality in non-differentiable multiobjective mathematical programming. Zbl 1121.90111Mishra, S. K.; Wang, S. Y.; Lai, K. K.; Yang, F. M. 2 2007 Role of \(\alpha\)-pseudo-univex functions in vector variational-like inequality problems. Zbl 1333.49021Mishra, S. K.; Wang, Shouyang; Lai, K. K. 2 2007 Pseudolinear fuzzy mappings. Zbl 1121.90135Mishra, S. K.; Wang, S. Y.; Lai, K. K. 1 2007 Second-order mixed symmetric duality in non-differentiable multi-objective mathematical programming. Zbl 1127.49026Mishra, S. K. 1 2007 Generalized type I invexity and duality in nondifferentiable multiobjective variational problems. Zbl 1181.90240Mishra, S. K.; Wang, S. Y.; Lai, Kin Keung 1 2007 Vector variational-like inequalities and non-smooth vector optimization problems. Zbl 1134.49003Mishra, S. K.; Wang, S. Y. 32 2006 Some nondifferentiable multiobjective programming problems. Zbl 1148.90012Mishra, S. K.; Noor, M. A. 15 2006 Second-order duality for nondifferentiable minimax programming involving generalized type I functions. Zbl 1278.90433Mishra, S. K.; Rueda, N. G. 10 2006 Duality for multiple objective fractional subset programming with generalized \((\Gamma\mkern-15mu-,\rho,\sigma,\theta)\)-V-Type-I functions. Zbl 1144.90029Mishra, S. K. 4 2006 Optimality and duality for a multi-objective programming problem involving generalized \(d\)-type-I and related \(n\)-set functions. Zbl 1113.90143Mishra, S. K.; Wang, S. Y.; Lai, K. K. 1 2006 Mond-Weir type mixed symmetric first and second order duality in non-differentiable mathematical programming. Zbl 1129.90374Mishra, S. K.; Wang, S. Y.; Lai, K. K. 1 2006 Explicitly B-preinvex fuzzy mappings. Zbl 1099.90083Mishra, S. K.; Wang, S. Y.; Lai, K. K. 1 2006 Nondifferentiable multiobjective programming under generalized \(d\)-univexity. Zbl 1067.90150Mishra, S. K.; Wang, S. Y.; Lai, K. K. 23 2005 Optimality and duality for multiple-objective optimization under generalized type I univexity. Zbl 1090.90173Mishra, S. K.; Wang, Shou-Yang; Lai, K. K. 17 2005 On vector variational-like inequality problems. Zbl 1078.49007Mishra, S. K.; Noor, M. A. 17 2005 Non-differentiable higher-order symmetric duality in mathematical programming with generalized invexity. Zbl 1075.90075Mishra, S. K. 14 2005 Multiple objective fractional programming involving semilocally type I-preinvex and related functions. Zbl 1113.90156Mishra, S. K.; Wang, S. Y.; Lai, K. K. 12 2005 Complex minimax programming under generalized type-I functions. Zbl 1127.90075Mishra, S. K. 4 2005 Second order symmetric duality for nonlinear multiobjective mixed integer programming. Zbl 1120.90036Mishra, S. K.; Wang, S. Y. 2 2005 Properties of approximate preinvex functions. Zbl 1110.26016Noor, Muhammad Aslam; Mishra, S. K.; Momani, Shaher 1 2005 New generalized invexity for duality in multiobjective programming problems involving \(N\)-set functions. Zbl 1138.90475Mishra, S. K.; Wang, S. Y.; Lai, K. K.; Shi, J. 1 2005 Optimality and duality in nondifferentiable and multiobjective programming under generalized \(d\)-invexity. Zbl 1119.90071Mishra, S. K.; Wang, S. Y.; Lai, K. K. 17 2004 Duality in vector optimization in Banach spaces with generalized convexity. Zbl 1119.90049Mishra, S. K.; Giorgi, G.; Wang, S. Y. 13 2004 Complex minimax programming under generalized convexity. Zbl 1106.90075Mishra, S. K.; Wang, S. Y.; Lai, K. K. 7 2004 Higher-order duality for a class of nondifferentiable multiobjective programming problems. Zbl 1114.90149Mishra, S. K.; Wang, S. Y.; Lai, K. K. 3 2004 Semistrictly preinvex fuzzy mappings. Zbl 1092.26024Mishra, S. K.; Wang, S. Y.; Lai, K. K. 2 2004 Nondifferentiable minimax fractional programming under generalized univexity. Zbl 1030.90127Mishra, S. K.; Wang, S. Y.; Lai, K. K.; Shi, J. M. 16 2003 Symmetric duality for mathematical programming in complex spaces with \(F\)-convexity. Zbl 1033.90130Mishra, Shashi K.; Rueda, Norma G. 5 2003 Multiobjective programming under generalized type I univexity. Zbl 1084.90529Mishra, Shashi K.; Rueda, Norma G.; Giorgi, Giorgio 4 2003 On harmonic convexity (concavity) and application to non-linear programming problems. Zbl 1246.90122Das, C.; Mishra, S.; Pradhan, P. K. 2 2003 Nonsmooth minimax problems under \(V-\rho-\sigma\)-type-I invexity. Zbl 1029.46118Mishra, S. K.; Wang, S. Y.; Gupta, P.; Lai, K. K. 2 2003 Higher-order generalized invexity and duality in nondifferentiable mathematical programming. Zbl 1175.90318Mishra, Shashi K.; Rueda, Norma G. 25 2002 Pseudoconvex complex minimax programming. Zbl 0980.90098Mishra, S. K. 7 2001 Second order symmetric duality in mathematical programming with \(F\)-convexity. Zbl 0982.90063Mishra, S. K. 34 2000 ...and 22 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 380 Authors 77 Mishra, Shashi Kant 19 Wang, Shouyang 17 Antczak, Tadeusz 14 Ahmad, Izhar 13 Kim, Do Sang 12 Jayswal, Anurag 11 Liu, Sanyang 10 Nahak, Chandal 10 Ruiz-Garzón, Gabriel 10 Tripathy, Arun Kumar 9 Arana-Jiménez, Manuel 9 Gupta, Shiv Kumar 9 Husain, Zakir 9 Noor, Muhammad Aslam 9 Rufián-Lizana, Antonio 9 Soleimani-damaneh, Majid 9 Yang, Xinmin 8 Laha, Vivek 8 Padhan, Saroj Kumar 7 Gulati, Tilak Raj 7 Nobakhtian, Soghra 7 Osuna-Gómez, Rafaela 7 Rueda, Norma G. 7 Sharma, Sarita 7 Stancu-Minasian, Ioan M. 6 Agarwal, Divya 6 Chen, Xiuhong 6 Rautela, J. S. 5 Kharbanda, Pallavi 5 Kim, Moon Hee 5 Long, Xianjun 5 Mohapatra, Ram Narayan 5 Noor, Khalida Inayat 5 Sinha, Deepa 5 Suneja, Surjeet Kaur 5 Teo, Kok Lay 5 Upadhyay, Balendu Bhooshan 5 Yu, Guolin 4 Ansari, Qamrul Hasan 4 Chu, Yuming 4 Gadhi, Nazih Abderrazzak 4 Huang, Nan-Jing 4 Joshi, Bhuwan Chandra 4 Kailey, N. 4 Lee, Gue Myung 4 Pandey, Yogendra 4 Pant, Rajendra Prasad 4 Slimani, Hachem 4 Srivastava, Manjari K. 4 Tang, Liping 4 Treanţă, Savin 4 Verma, Ram U. 3 Awan, Muhammad Uzair 3 Batista Dos Santos, Lucelina 3 Bhatia, Meetu 3 Chen, Jiawei 3 Chuong, Thai Doan 3 Dangar, Debasis 3 Devi, Gayatri 3 Diehl, Moritz Mathias 3 Gao, Ying 3 Hamdi, Abdelouahed 3 Ho, Shun-Chin 3 Houska, Boris 3 Ivanov, Vsevolod Ivanov 3 Jaiswal, Monika 3 Jiao, Hehua 3 Kanzi, Nader 3 Lai, Kinkeung 3 Le Thi, Hoai An 3 Lee, Wonjung 3 Li, Lifeng 3 Maurya, J. K. 3 Preda, Vasile C. 3 Radjef, Mohammed Said 3 Rojas-Medar, Marko Antonio 3 Silva, Geraldo Nunes 3 Singh, Yadvendra 3 Stancu, Andreea Mădălina 3 Tung, Le Thanh 3 Yang, Xiaoqi 3 Zafarani, Jafar 3 Zhang, Jianke 2 Al-Homidan, Suliman S. 2 Beldiman, Miruna 2 Bnouhachem, Abdellah 2 Chai, Yanfei 2 Cho, Yeol Je 2 de Oliveira, Valeriano Antunes 2 Ding, Xie Ping 2 El Idrissi, Mohammed 2 Emam, Tarek G. 2 Farajzadeh, Ali P. 2 Gang, Xiao 2 Giorgi, Giorgio 2 Gupta, Pooja 2 Gutiérrez, César 2 Hernández-Jiménez, Beatriz 2 Huang, Tone-Yau 2 Jiang, Yuning ...and 280 more Authors all top 5 Cited in 99 Serials 32 Journal of Mathematical Analysis and Applications 32 Journal of Global Optimization 27 Journal of Optimization Theory and Applications 27 Optimization Letters 23 European Journal of Operational Research 22 Journal of Inequalities and Applications 17 Optimization 16 Nonlinear Analysis. Theory, Methods & Applications. 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Series B (English Edition) 1 Turkish Journal of Mathematics 1 Fractals 1 Filomat 1 Top 1 Journal of Convex Analysis 1 Opuscula Mathematica 1 Mathematical Problems in Engineering 1 Journal of Applied Analysis 1 Optimization Methods & Software 1 Taiwanese Journal of Mathematics 1 Mathematical Methods of Operations Research 1 Acta Mathematica Sinica. English Series 1 Nonlinear Analysis. Real World Applications 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 4OR 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Fuzzy Optimization and Decision Making 1 Cubo 1 Nonlinear Analysis. Hybrid Systems 1 International Journal of Computing Science and Mathematics 1 Tbilisi Mathematical Journal 1 Journal of Nonlinear Science and Applications 1 Advances in Operations Research 1 Set-Valued and Variational Analysis 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. 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RACSAM 1 Symmetry 1 ISRN Mathematical Analysis 1 Croatian Operational Research Review (CRORR) 1 Numerical Algebra, Control and Optimization 1 Journal of Nonlinear Analysis and Optimization: Theory & Applications 1 Journal of Applied Analysis and Computation 1 Mathematical Sciences 1 Journal of Optimization 1 Iranian Journal of Numerical Analysis and Optimization 1 International Journal of Applied and Computational Mathematics 1 Cogent Mathematics 1 Journal of Nonlinear and Variational Analysis 1 Electronic Research Archive all top 5 Cited in 22 Fields 384 Operations research, mathematical programming (90-XX) 138 Calculus of variations and optimal control; optimization (49-XX) 47 Real functions (26-XX) 30 Numerical analysis (65-XX) 9 Operator theory (47-XX) 5 Convex and discrete geometry (52-XX) 4 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Computer science (68-XX) 3 Systems theory; control (93-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year