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## Georgiev, Pando Grigorov

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 Author ID: georgiev.pando-grigorov Published as: Georgiev, P.; Georgiev, P. G.; Georgiev, P. Gr.; Georgiev, Pando; Georgiev, Pando G.; Georgiev, Pando Gr.; Georgiev, Pando Grigorov
 Documents Indexed: 81 Publications since 1979, including 1 Book
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#### Co-Authors

 21 single-authored 13 Pardalos, Panos M. 10 Tanaka, Tamaki 5 De Blasi, Francesco Saverio 5 Theis, Fabian Joachim 5 Zlateva, Nadia P. 4 Cichocki, Andrzej 4 Nishizawa, Shogo 3 Daniilidis, Aris 2 Chinchuluun, Altannar 2 Ralescu, Anca L. 2 Syed, Mujahid N. 1 Dinh The Luc 1 Donchev, Tzanko Donchev 1 Ivanov Todorov, Maxim 1 Kindermann, Lars 1 Kuroiwa, Daishi 1 Myjak, Jozef Wenety 1 Olsson, Daniel 1 Penot, Jean-Paul 1 Ralescu, Dan A. 1 Sánchez-González, Luis 1 Srivastava, Hari Mohan
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#### Serials

 6 Doklady Bolgarskoĭ Akademii Nauk 6 RIMS Kokyuroku 4 Proceedings of the American Mathematical Society 3 Journal of Mathematical Analysis and Applications 3 Journal of Global Optimization 2 Bulletin of the Australian Mathematical Society 2 Computational Optimization and Applications 2 Set-Valued Analysis 2 Journal of Nonlinear and Convex Analysis 1 Journal of Optimization Theory and Applications 1 Journal of Statistical Planning and Inference 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Optimization 1 Computers & Operations Research 1 Mathematica Balkanica. New Series 1 European Journal of Operational Research 1 Cybernetics and Systems Analysis 1 Abstract and Applied Analysis 1 Acta Mathematica Sinica. English Series 1 Communications in Mathematical Analysis 1 Optimization Letters 1 EURASIP Journal on Advances in Signal Processing 1 Springer Optimization and Its Applications
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#### Fields

 30 Calculus of variations and optimal control; optimization (49-XX) 16 Functional analysis (46-XX) 15 Operator theory (47-XX) 15 Operations research, mathematical programming (90-XX) 4 Approximations and expansions (41-XX) 4 Convex and discrete geometry (52-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Computer science (68-XX) 3 Real functions (26-XX) 3 General topology (54-XX) 3 Biology and other natural sciences (92-XX) 3 Information and communication theory, circuits (94-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Partial differential equations (35-XX) 1 Algebraic topology (55-XX)

#### Citations contained in zbMATH

41 Publications have been cited 211 times in 182 Documents Cited by Year
The strong Ekeland variational principle, the strong drop theorem and applications. Zbl 0647.49009
Georgiev, Pando Grigorov
1988
Approximate convexity and submonotonicity. Zbl 1048.49008
Daniilidis, Aris; Georgiev, Pando
2004
Second-order subdifferentials of $$C^{1,1}$$ functions and optimality conditions. Zbl 0864.49012
Georgiev, Pando Gr.; Zlateva, Nadia P.
1996
Robust aspects of solutions in deterministic multiple objective linear programming. Zbl 1317.90262
Georgiev, Pando G.; Luc, Dinh The; Pardalos, Panos M.
2013
Parametric Borwein-Preiss variational principle and applications. Zbl 1067.49003
Georgiev, Pando Gr.
2005
Submonotone mappings in Banach spaces and applications. Zbl 0898.46015
Georgiev, Pando Gr.
1997
Vector-valued set-valued variants of Ky Fan’s inequality. Zbl 0987.49010
Georgiev, Pando Gr.; Tanaka, Tamaki
2000
Integration of multivalued operators and cyclic submonotonicity. Zbl 1038.49026
Daniilidis, Aris; Georgiev, Pando; Penot, Jean-Paul
2003
Fan’s inequality for set-valued maps. Zbl 1042.49512
Georgiev, Pando Gr.; Tanaka, Tamaki
2001
Parametric Ekeland’s variational principle. Zbl 0996.49014
Georgiev, P. G.
2001
Generalized Nash equilibrium problems for lower semi-continuous strategy maps. Zbl 1230.90186
Georgiev, P. G.; Pardalos, P. M.
2011
A bilinear algorithm for sparse representations. Zbl 1183.65042
Georgiev, Pando; Pardalos, Panos; Theis, Fabian
2007
On inherited properties of set-valued maps. Zbl 1255.49032
Nishizawa, Shogo; Tanaka, Tamaki; Georgiev, Pando Gr.
2003
Reconstruction of the Clarke subdifferential by the Lasry-Lions regularizations. Zbl 0968.46063
Georgiev, Pando Gr.; Zlateva, Nadia P.
2000
Localization of minimax points. Zbl 1145.90102
Georgiev, Pando G.; Pardalos, Panos M.; Chinchuluun, Altannar
2008
Kakutani-Fan’s fixed point theorem in hyperspaces. Zbl 1015.47039
De Blasi, Francesco S.; Georgiev, Pando Gr.
2001
Mazur intersection properties and differentiability of convex functions in Banach spaces. Zbl 0962.46008
Georgiev, P. G.; Granero, A. S.; Jiménez Sevilla, M.; Moreno, J. P.
2000
On the residuality of the set of norms having Mazur’s intersection property. Zbl 0760.46007
Georgiev, Pando Gr.
1991
Mazur’s intersection property and a Krein-Milman type theorem for almost all closed, convex and bounded subsets of a Banach space. Zbl 0673.46005
Georgiev, Pando Grigorov
1988
Nonlinear analysis. Stability, approximation, and inequalities. In honor of Themistocles M. Rassias on the occasion of his 60th birthday. Zbl 1242.00056
Pardalos, Panos M. (ed.); Georgiev, Pando G. (ed.); Srivastava, Hari M. (ed.)
2012
Algorithms with high order convergence speed for blind source extraction. Zbl 1171.65405
Georgiev, Pando; Pardalos, Panos; Cichocki, Andrzej
2007
Hukuhara’s topological degree for non compact valued multifunctions. Zbl 1048.47045
De Blasi, Francesco S.; Georgiev, Pando Gr.
2003
Optimization by $$n$$-homogeneous polynomial perturbations. Zbl 1005.90063
Finet, C.; Georgiev, P.
2001
The smooth, variational principle and generic differentiability. Zbl 0717.49014
Georgiev, Pando Grigorov
1991
A hierarchical approach for sparse source blind signal separation problem. Zbl 1348.94014
Syed, Mujahid N.; Georgiev, Pando G.; Pardalos, Panos M.
2014
Optimality conditions of first order for global minima of locally Lipschitz functions. Zbl 1231.90377
Georgiev, Pando G.; Chinchuluun, Altannar; Pardalos, Panos M.
2011
Parameterized variational inequalities. Zbl 1200.90162
Georgiev, Pando Gr.
2010
Optimization techniques for data representations with biomedical applications. Zbl 1341.92005
Georgiev, Pando G.; Theis, Fabian J.
2009
Robust sparse component analysis based on a generalized Hough transform. Zbl 1168.94447
Theis, Fabian J.; Georgiev, Pando; Cichocki, Andrzej
2007
Porosity and differentiability in smooth Banach spaces. Zbl 1078.49014
Georgiev, Pando Gr.
2005
Cyclic hypomonotonicity, cyclic submonotonicity, and integration. Zbl 1100.49019
Daniilidis, A.; Georgiev, P.
2004
Relaxed submonotone mappings. Zbl 1032.47028
Donchev, Tzanko; Georgiev, Pando
2003
On a fixed point theorem of Ky Fan. Zbl 1027.47058
De Blasi, Francesco S.; Georgiev, Pando Gr.
2002
Minimax theorems for vector-valued multifunctions. Zbl 0985.49505
Georgiev, Pando Gr.; Tanaka, Tamaki
2001
Lasry-Lions regularizations and reconstruction of subdifferentials. Zbl 0937.49006
Georgiev, P.; Zlateva, N.
1998
Generic Gateaux differentiability via smooth perturbations. Zbl 0912.46048
Georgiev, Pando Gr.; Zlateva, Nadia P.
1997
On the smooth drop property. Zbl 0872.46010
Georgiev, P.; Kutzarova, D.; Maâden, A.
1996
Second subdifferentials of $$C^{1,1}$$ functions: Optimality conditions and well-posedness. Zbl 0816.49009
Georgiev, P. G.; Zlateva, N. P.
1993
Fréchet differentiability of convex functions in separable Banach spaces. Zbl 0752.46026
Georgiev, P. Gr.
1990
Submonotone mappings in Banach spaces and differentiability of non-convex functions. Zbl 0715.49016
Georgiev, P. G.
1989
Strenghened forms of Ekeland’s variational principle, of the drop theorem, and some applications. Zbl 0611.46027
Georgiev, P. G.
1986
A hierarchical approach for sparse source blind signal separation problem. Zbl 1348.94014
Syed, Mujahid N.; Georgiev, Pando G.; Pardalos, Panos M.
2014
Robust aspects of solutions in deterministic multiple objective linear programming. Zbl 1317.90262
Georgiev, Pando G.; Luc, Dinh The; Pardalos, Panos M.
2013
Nonlinear analysis. Stability, approximation, and inequalities. In honor of Themistocles M. Rassias on the occasion of his 60th birthday. Zbl 1242.00056
Pardalos, Panos M. (ed.); Georgiev, Pando G. (ed.); Srivastava, Hari M. (ed.)
2012
Generalized Nash equilibrium problems for lower semi-continuous strategy maps. Zbl 1230.90186
Georgiev, P. G.; Pardalos, P. M.
2011
Optimality conditions of first order for global minima of locally Lipschitz functions. Zbl 1231.90377
Georgiev, Pando G.; Chinchuluun, Altannar; Pardalos, Panos M.
2011
Parameterized variational inequalities. Zbl 1200.90162
Georgiev, Pando Gr.
2010
Optimization techniques for data representations with biomedical applications. Zbl 1341.92005
Georgiev, Pando G.; Theis, Fabian J.
2009
Localization of minimax points. Zbl 1145.90102
Georgiev, Pando G.; Pardalos, Panos M.; Chinchuluun, Altannar
2008
A bilinear algorithm for sparse representations. Zbl 1183.65042
Georgiev, Pando; Pardalos, Panos; Theis, Fabian
2007
Algorithms with high order convergence speed for blind source extraction. Zbl 1171.65405
Georgiev, Pando; Pardalos, Panos; Cichocki, Andrzej
2007
Robust sparse component analysis based on a generalized Hough transform. Zbl 1168.94447
Theis, Fabian J.; Georgiev, Pando; Cichocki, Andrzej
2007
Parametric Borwein-Preiss variational principle and applications. Zbl 1067.49003
Georgiev, Pando Gr.
2005
Porosity and differentiability in smooth Banach spaces. Zbl 1078.49014
Georgiev, Pando Gr.
2005
Approximate convexity and submonotonicity. Zbl 1048.49008
Daniilidis, Aris; Georgiev, Pando
2004
Cyclic hypomonotonicity, cyclic submonotonicity, and integration. Zbl 1100.49019
Daniilidis, A.; Georgiev, P.
2004
Integration of multivalued operators and cyclic submonotonicity. Zbl 1038.49026
Daniilidis, Aris; Georgiev, Pando; Penot, Jean-Paul
2003
On inherited properties of set-valued maps. Zbl 1255.49032
Nishizawa, Shogo; Tanaka, Tamaki; Georgiev, Pando Gr.
2003
Hukuhara’s topological degree for non compact valued multifunctions. Zbl 1048.47045
De Blasi, Francesco S.; Georgiev, Pando Gr.
2003
Relaxed submonotone mappings. Zbl 1032.47028
Donchev, Tzanko; Georgiev, Pando
2003
On a fixed point theorem of Ky Fan. Zbl 1027.47058
De Blasi, Francesco S.; Georgiev, Pando Gr.
2002
Fan’s inequality for set-valued maps. Zbl 1042.49512
Georgiev, Pando Gr.; Tanaka, Tamaki
2001
Parametric Ekeland’s variational principle. Zbl 0996.49014
Georgiev, P. G.
2001
Kakutani-Fan’s fixed point theorem in hyperspaces. Zbl 1015.47039
De Blasi, Francesco S.; Georgiev, Pando Gr.
2001
Optimization by $$n$$-homogeneous polynomial perturbations. Zbl 1005.90063
Finet, C.; Georgiev, P.
2001
Minimax theorems for vector-valued multifunctions. Zbl 0985.49505
Georgiev, Pando Gr.; Tanaka, Tamaki
2001
Vector-valued set-valued variants of Ky Fan’s inequality. Zbl 0987.49010
Georgiev, Pando Gr.; Tanaka, Tamaki
2000
Reconstruction of the Clarke subdifferential by the Lasry-Lions regularizations. Zbl 0968.46063
Georgiev, Pando Gr.; Zlateva, Nadia P.
2000
Mazur intersection properties and differentiability of convex functions in Banach spaces. Zbl 0962.46008
Georgiev, P. G.; Granero, A. S.; Jiménez Sevilla, M.; Moreno, J. P.
2000
Lasry-Lions regularizations and reconstruction of subdifferentials. Zbl 0937.49006
Georgiev, P.; Zlateva, N.
1998
Submonotone mappings in Banach spaces and applications. Zbl 0898.46015
Georgiev, Pando Gr.
1997
Generic Gateaux differentiability via smooth perturbations. Zbl 0912.46048
Georgiev, Pando Gr.; Zlateva, Nadia P.
1997
Second-order subdifferentials of $$C^{1,1}$$ functions and optimality conditions. Zbl 0864.49012
Georgiev, Pando Gr.; Zlateva, Nadia P.
1996
On the smooth drop property. Zbl 0872.46010
Georgiev, P.; Kutzarova, D.; Maâden, A.
1996
Second subdifferentials of $$C^{1,1}$$ functions: Optimality conditions and well-posedness. Zbl 0816.49009
Georgiev, P. G.; Zlateva, N. P.
1993
On the residuality of the set of norms having Mazur’s intersection property. Zbl 0760.46007
Georgiev, Pando Gr.
1991
The smooth, variational principle and generic differentiability. Zbl 0717.49014
Georgiev, Pando Grigorov
1991
Fréchet differentiability of convex functions in separable Banach spaces. Zbl 0752.46026
Georgiev, P. Gr.
1990
Submonotone mappings in Banach spaces and differentiability of non-convex functions. Zbl 0715.49016
Georgiev, P. G.
1989
The strong Ekeland variational principle, the strong drop theorem and applications. Zbl 0647.49009
Georgiev, Pando Grigorov
1988
Mazur’s intersection property and a Krein-Milman type theorem for almost all closed, convex and bounded subsets of a Banach space. Zbl 0673.46005
Georgiev, Pando Grigorov
1988
Strenghened forms of Ekeland’s variational principle, of the drop theorem, and some applications. Zbl 0611.46027
Georgiev, P. G.
1986
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#### Cited by 247 Authors

 14 Georgiev, Pando Grigorov 8 Li, Chong 8 Pastor, Karel 7 Qiu, Jinghui 7 Soleimani-damaneh, Majid 6 Pardalos, Panos M. 5 Daniilidis, Aris 5 Moreno, José-Pedro 5 Noll, Dominikus 5 Penot, Jean-Paul 4 Bednařík, Dušan 4 Ginchev, Ivan G. 4 Tanaka, Tamaki 3 Bednarczuk, Ewa M. 3 Borwein, Jonathan Michael 3 Jiménez-Sevilla, Mar 3 Lassonde, Marc 3 Mishra, Shashi Kant 3 Plubtieng, Somyot 3 Rahimi, Morteza 3 Schöbel, Anita 3 Xu, Hong-Kun 3 Yao, Jen-Chih 2 Acosta Vigil, María Dolores 2 Alaminos, Jerónimo 2 Ansari, Qamrul Hasan 2 Araya, Yousuke 2 Aussel, Didier 2 Beer, Gerald Alan 2 Castellani, Marco 2 Chuong, Thai Doan 2 Cobzaş, Ştefan 2 Crasta, Graziano 2 De Bernardi, Carlo Alberto 2 De Blasi, Francesco Saverio 2 Dvorská, Marie 2 Fragalà, Ilaria 2 García, Domingo 2 Giuli, Massimiliano 2 Goberna, Miguel Angel 2 Guerraggio, Angelo 2 Gwinner, Joachim 2 He, Fei 2 Huynh Van Ngai 2 Isac, Gheorghe 2 Ivanov, Vsevolod Ivanov 2 Jeyakumar, Vaithilingam 2 Kabgani, Alireza 2 Kutzarova, Denka N. 2 Kuwano, Issei 2 Laha, Vivek 2 Leśniak, Krzysztof 2 Li, Guoyin 2 López Acedo, Genaro 2 Maaden, Abdelhakim 2 Maestre, Manuel 2 Ovcharova, Nina 2 Phan Quôc Khánh 2 Raykov, Ivan Lyubenov 2 Seangwattana, Thidaporn 2 Suzuki, Tomonari 2 Syed, Mujahid N. 2 Tammer, Christiane 2 Tian, Guoqiang 2 Veselý, Libor 2 Vicente-Pérez, José 2 Zafarani, Jafar 2 Zlateva, Nadia P. 1 Ahmad, Ahmad F. 1 Alazard, Daniel 1 Alleche, Boualem 1 Amaldi, Edoardo 1 Andres, Jan 1 Anh, Lam Quoc 1 Apkarian, Pierre 1 Attouch, Hedy 1 Bauschke, Heinz H. 1 Beyn, Wolf-Jürgen 1 Botte, Marco 1 Bouhamidi, Abderrahman 1 Burai, Pál 1 Chan, Kwokleung 1 Chang, Sanders S. 1 Chen, Chunrong 1 Chen, Dongjian 1 Cheng, Lee-Ming 1 Cheng, Lixin 1 Chinchuluun, Altannar 1 Choudhury, Binayak Samadder 1 Christof, Constantin 1 Correa, Rafael 1 Cotrina, John 1 Craven, Bruce Desmond 1 Czarnecki, Marc-Olivier 1 Dao, Minh Ngoc 1 De los Reyes, Juan Carlos 1 De Marchi, Stefano 1 Debnath, Pradip 1 Deville, Robert 1 Dhyani, Kanika ...and 147 more Authors
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#### Cited in 66 Serials

 15 Journal of Optimization Theory and Applications 14 Journal of Mathematical Analysis and Applications 13 Optimization 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Optimization Letters 8 Acta Mathematica Sinica. English Series 6 Journal of Global Optimization 6 Set-Valued and Variational Analysis 5 European Journal of Operational Research 4 Journal of Approximation Theory 4 Transactions of the American Mathematical Society 4 Mathematical Programming. Series A. Series B 4 Computational Optimization and Applications 3 Archiv der Mathematik 3 Journal of Functional Analysis 3 Numerical Functional Analysis and Optimization 3 Proceedings of the American Mathematical Society 3 SIAM Journal on Optimization 3 Set-Valued Analysis 3 Nihonkai Mathematical Journal 2 Rocky Mountain Journal of Mathematics 2 Applied Mathematics and Optimization 2 Mathematics of Operations Research 2 Applied Mathematics Letters 2 Vietnam Journal of Mathematics 2 Positivity 2 Fixed Point Theory and Applications 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Israel Journal of Mathematics 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Demonstratio Mathematica 1 Kybernetika 1 Mathematica Slovaca 1 Mathematika 1 Monatshefte für Mathematik 1 Proceedings of the Japan Academy. Series A 1 Topology and its Applications 1 Zeitschrift für Analysis und ihre Anwendungen 1 Computers & Operations Research 1 Mathematical and Computer Modelling 1 MCSS. Mathematics of Control, Signals, and Systems 1 Science in China. Series A 1 Pattern Recognition 1 Expositiones Mathematicae 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Cybernetics and Systems Analysis 1 Journal of Mathematical Sciences (New York) 1 Top 1 Selecta Mathematica. New Series 1 Bulletin des Sciences Mathématiques 1 Journal of Applied Analysis 1 Optimization Methods & Software 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 RAIRO. Operations Research 1 Nonlinear Analysis. Modelling and Control 1 Journal of the Australian Mathematical Society 1 Journal of Systems Science and Complexity 1 Central European Journal of Mathematics 1 Journal of Industrial and Management Optimization 1 Communications in Mathematical Analysis 1 Journal of Fixed Point Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Cited in 25 Fields

 101 Calculus of variations and optimal control; optimization (49-XX) 88 Operations research, mathematical programming (90-XX) 43 Functional analysis (46-XX) 33 Operator theory (47-XX) 18 General topology (54-XX) 16 Real functions (26-XX) 11 Numerical analysis (65-XX) 10 Approximations and expansions (41-XX) 10 Global analysis, analysis on manifolds (58-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Systems theory; control (93-XX) 5 Convex and discrete geometry (52-XX) 2 Partial differential equations (35-XX) 2 Differential geometry (53-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX)