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## Balaj, Mircea

Compute Distance To:
 Author ID: balaj.mircea Published as: Balaj, Mircea; Balaj, M.; Bălaj, Mircea; Balaj, Micea External Links: MGP
 Documents Indexed: 95 Publications since 1993, including 3 Books Reviewing Activity: 237 Reviews
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#### Co-Authors

 59 single-authored 14 O’Regan, Donal 10 Lin, Lai-Jiu 9 Agarwal, Ravi P. 4 Mureşan, Sorin 2 Coroianu, Lucian C. 2 Erzse, Daniel 2 Khamsi, Mohamed Amine 1 Cho, Yeol Je 1 Dinh The Luc 1 Gal, Sorin Gheorghe 1 Jorquera, Eduardo Daniel 1 Nikodem, Kazimierz 1 Wąsowicz, Szymon 1 Yang, Sheng-Fan 1 Ye, Yu-Chia
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#### Serials

 9 Analele Universităţii din Oradea. Fascicola Matematică 6 Journal of Optimization Theory and Applications 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Applicable Analysis 3 Optimization 3 Mathematica 3 Journal of Nonlinear and Convex Analysis 3 Fixed Point Theory 3 Carpathian Journal of Mathematics 2 Computers & Mathematics with Applications 2 Journal of Mathematical Analysis and Applications 2 Commentationes Mathematicae Universitatis Carolinae 2 Journal of the Korean Mathematical Society 2 Numerical Functional Analysis and Optimization 2 Applied Mathematics Letters 2 Buletinul Ştiinţific al Universităţii Baia Mare. Seria B 2 Nonlinear Analysis Forum 2 Journal of Fixed Point Theory and Applications 1 Bulletin of the Australian Mathematical Society 1 Discrete Mathematics 1 Beiträge zur Algebra und Geometrie 1 Archivum Mathematicum 1 Demonstratio Mathematica 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Topology and its Applications 1 Annales Societatis Mathematicae Polonae. Seria I. Commentationes Mathematicae 1 Libertas Mathematica 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Bulletin of the Korean Mathematical Society 1 Note di Matematica 1 Applied Mathematics and Mechanics. (English Edition) 1 Mathematica Pannonica 1 Applications of Mathematics 1 Journal of Global Optimization 1 Revue d’Analyse Numérique et de Théorie de l’Approximation 1 Mathematica Montisnigri 1 PU.M.A. Pure Mathematics and Applications 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Mathematical Communications 1 Taiwanese Journal of Mathematics 1 “Babeş-Bolyai” University. Faculty of Mathematics and Computer Science. Research Seminars. Preprint 1 International Journal of Differential Equations and Applications 1 Discussiones Mathematicae. Differential Inclusions, Control and Optimization 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Acta Universitatis Apulensis. Mathematics - Informatics 1 Seminar on Fixed Point Theory Cluj-Napoca 1 The Australian Journal of Mathematical Analysis and Applications 1 Cubo 1 Pacific Journal of Optimization 1 East Asian Mathematical Journal 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
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#### Fields

 52 Calculus of variations and optimal control; optimization (49-XX) 43 Operator theory (47-XX) 41 General topology (54-XX) 25 Convex and discrete geometry (52-XX) 8 Functional analysis (46-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Real functions (26-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH Open

44 Publications have been cited 227 times in 100 Documents Cited by Year
Generalized variational relation problems with applications. Zbl 1211.49009
Balaj, M.; Lin, L. J.
2011
On mixed variational relation problems. Zbl 1205.49014
Balaj, Mircea; Luc, Dinh The
2010
Equivalent forms of a generalized KKM theorem and their applications. Zbl 1204.49005
Balaj, Mircea; Lin, Lai-Jiu
2010
A unifying approach to variational relation problems. Zbl 1268.49006
Agarwal, R. P.; Balaj, M.; O’Regan, D.
2012
Weakly $$G$$-KKM mappings, $$G$$-KKM property, and minimax inequalities. Zbl 1053.54028
Balaj, Mircea
2004
Fixed points, coincidence points and maximal elements with applications to generalized equilibrium problems and minimax theory. Zbl 1157.54017
Balaj, Mircea; Lin, Lai-Jiu
2009
Existence criteria for the solutions of two types of variational relation problems. Zbl 1272.49028
Balaj, M.; Lin, L. J.
2013
Coincidence and maximal element theorems and their applications to generalized equilibrium problems and minimax inequalities. Zbl 1159.49024
Balaj, Mircea
2008
A common fixed point theorem with applications to vector equilibrium problems. Zbl 1225.47066
Balaj, Mircea
2010
A common fixed point theorem with applications. Zbl 1308.47061
Agarwal, R. P.; Balaj, M.; O’Regan, D.
2014
Three types of variational relation problems. Zbl 1262.49019
Balaj, Mircea
2013
Common fixed point theorems and minimax inequalities in locally convex Hausdorff topological vector spaces. Zbl 1223.47057
Agarwal, Ravi P.; Balaj, Mircea; O’Regan, Donal
2009
Generalizations of the Fan-Browder fixed point theorem and minimax inequalities. Zbl 1111.54032
Balaj, Mircea; Muresan, Sorin
2005
An intersection theorem with applications in minimax theory and equilibrium problem. Zbl 1124.49019
Balaj, Mircea
2007
Quasi-variational relation problems and generalized Ekeland’s variational principle with applications. Zbl 1309.90110
Lin, Lai-Jiu; Balaj, Mircea; Ye, Yu-Chia
2014
Haar spaces and polynomial selections. Zbl 1017.26021
Balaj, Mircea; Wąsowicz, Szymon
2003
Matching theorems and simultaneous relation problems. Zbl 1227.49025
Balaj, Mircea; Coroianu, Lucian
2011
Variational relation problems in locally convex spaces. Zbl 1223.49008
Agarwal, Ravi P.; Balaj, Mircea; O’Regan, Donal
2011
A fixed point-equilibrium theorem with applications. Zbl 1213.54061
Balaj, Mircea
2010
Alternative theorems and minimax inequalities in $$G$$-convex spaces. Zbl 1124.54004
Balaj, M.; Lin, L. J.
2007
Two minimax inequalities in $$G$$-convex spaces. Zbl 1090.49004
Balaj, Mircea
2006
Fixed point theorems, section properties and minimax inequalities on $$K$$-$$G$$-convex spaces. Zbl 1010.54046
Balaj, Mircea
2002
Remarks on Bárány’s theorem and affine selections. Zbl 0966.52005
Balaj, Mircea; Nikodem, Kazimierz
2000
Minimax inequalities in $$G$$-convex spaces. Zbl 1080.49004
Balaj, Mircea
2005
Alternative principles and their applications. Zbl 1221.54049
Balaj, Mircea
2011
Weak-equilibrium problems in $$G$$-convex spaces. Zbl 1225.54013
Balaj, Mircea; O’Regan, Donal
2008
Applications of two matching theorems in generalized convex spaces. Zbl 1034.54016
Balaj, M.
2002
Inclusion and intersection theorems with applications in equilibrium theory in $$G$$-convex spaces. Zbl 1203.47092
Balaj, Mircea; O’Regan, Donal
2010
New existence criteria of the solutions for a variational relation problem. Zbl 1374.47075
Balaj, Mircea
2017
Common fixed point theorems in topological vector spaces via intersection theorems. Zbl 1453.47005
Agarwal, Ravi P.; Balaj, Mircea; O’Regan, Donal
2017
Existence theorems for a variational relation problem. Zbl 1345.49007
Balaj, Mircea
2016
Variational relation problems in a general setting. Zbl 1353.49007
Agarwal, Ravi P.; Balaj, Mircea; O’Regan, Donal
2016
Stampacchia variational inequality with weak convex mappings. Zbl 1440.49009
Balaj, Mircea
2018
A unified generalization of two Halpern’s fixed point theorems and applications. Zbl 1020.47043
Balaj, Mircea
2002
Finite families of convex sets with convex union. Zbl 0858.52002
Balaj, Mircea
1993
Intersection results and fixed point theorems in $$H$$-spaces. Zbl 1061.54028
Balaj, M.
2001
Admissible maps, intersection results, coincidence theorems. Zbl 1068.47068
Balaj, Mircea
2001
Alternative principles and minimax inequalities in $$G$$-convex spaces. Zbl 1231.54011
Balaj, Mircea
2008
A generalized quasi-equilibrium problem. Zbl 1182.49004
Balaj, Mircea; O’Regan, Donal
2010
Intersection theorems with applications in optimization. Zbl 1440.47045
Agarwal, Ravi P.; Balaj, Mircea; O’Regan, Donal
2018
An intersection theorem for set-valued mappings. Zbl 1275.47105
Agarwal, Ravi P.; Balaj, Mircea; O’Regan, Donal
2013
Systems of variational relations with lower semicontinuous set-valued mappings. Zbl 1389.49004
Balaj, Mircea
2015
An existence theorem for a variational relation problem with applications to minimax inequalities. Zbl 1343.47058
Balaj, M.; Lin, Lai-Jiu
2015
Solutions existence for two types of mixed variational relation problems. Zbl 1334.49056
Balaj, Mircea
2016
Stampacchia variational inequality with weak convex mappings. Zbl 1440.49009
Balaj, Mircea
2018
Intersection theorems with applications in optimization. Zbl 1440.47045
Agarwal, Ravi P.; Balaj, Mircea; O&rsquo;Regan, Donal
2018
New existence criteria of the solutions for a variational relation problem. Zbl 1374.47075
Balaj, Mircea
2017
Common fixed point theorems in topological vector spaces via intersection theorems. Zbl 1453.47005
Agarwal, Ravi P.; Balaj, Mircea; O&rsquo;Regan, Donal
2017
Existence theorems for a variational relation problem. Zbl 1345.49007
Balaj, Mircea
2016
Variational relation problems in a general setting. Zbl 1353.49007
Agarwal, Ravi P.; Balaj, Mircea; O&rsquo;Regan, Donal
2016
Solutions existence for two types of mixed variational relation problems. Zbl 1334.49056
Balaj, Mircea
2016
Systems of variational relations with lower semicontinuous set-valued mappings. Zbl 1389.49004
Balaj, Mircea
2015
An existence theorem for a variational relation problem with applications to minimax inequalities. Zbl 1343.47058
Balaj, M.; Lin, Lai-Jiu
2015
A common fixed point theorem with applications. Zbl 1308.47061
Agarwal, R. P.; Balaj, M.; O&rsquo;Regan, D.
2014
Quasi-variational relation problems and generalized Ekeland’s variational principle with applications. Zbl 1309.90110
Lin, Lai-Jiu; Balaj, Mircea; Ye, Yu-Chia
2014
Existence criteria for the solutions of two types of variational relation problems. Zbl 1272.49028
Balaj, M.; Lin, L. J.
2013
Three types of variational relation problems. Zbl 1262.49019
Balaj, Mircea
2013
An intersection theorem for set-valued mappings. Zbl 1275.47105
Agarwal, Ravi P.; Balaj, Mircea; O&rsquo;Regan, Donal
2013
A unifying approach to variational relation problems. Zbl 1268.49006
Agarwal, R. P.; Balaj, M.; O&rsquo;Regan, D.
2012
Generalized variational relation problems with applications. Zbl 1211.49009
Balaj, M.; Lin, L. J.
2011
Matching theorems and simultaneous relation problems. Zbl 1227.49025
Balaj, Mircea; Coroianu, Lucian
2011
Variational relation problems in locally convex spaces. Zbl 1223.49008
Agarwal, Ravi P.; Balaj, Mircea; O&rsquo;Regan, Donal
2011
Alternative principles and their applications. Zbl 1221.54049
Balaj, Mircea
2011
On mixed variational relation problems. Zbl 1205.49014
Balaj, Mircea; Luc, Dinh The
2010
Equivalent forms of a generalized KKM theorem and their applications. Zbl 1204.49005
Balaj, Mircea; Lin, Lai-Jiu
2010
A common fixed point theorem with applications to vector equilibrium problems. Zbl 1225.47066
Balaj, Mircea
2010
A fixed point-equilibrium theorem with applications. Zbl 1213.54061
Balaj, Mircea
2010
Inclusion and intersection theorems with applications in equilibrium theory in $$G$$-convex spaces. Zbl 1203.47092
Balaj, Mircea; O&rsquo;Regan, Donal
2010
A generalized quasi-equilibrium problem. Zbl 1182.49004
Balaj, Mircea; O&rsquo;Regan, Donal
2010
Fixed points, coincidence points and maximal elements with applications to generalized equilibrium problems and minimax theory. Zbl 1157.54017
Balaj, Mircea; Lin, Lai-Jiu
2009
Common fixed point theorems and minimax inequalities in locally convex Hausdorff topological vector spaces. Zbl 1223.47057
Agarwal, Ravi P.; Balaj, Mircea; O&rsquo;Regan, Donal
2009
Coincidence and maximal element theorems and their applications to generalized equilibrium problems and minimax inequalities. Zbl 1159.49024
Balaj, Mircea
2008
Weak-equilibrium problems in $$G$$-convex spaces. Zbl 1225.54013
Balaj, Mircea; O&rsquo;Regan, Donal
2008
Alternative principles and minimax inequalities in $$G$$-convex spaces. Zbl 1231.54011
Balaj, Mircea
2008
An intersection theorem with applications in minimax theory and equilibrium problem. Zbl 1124.49019
Balaj, Mircea
2007
Alternative theorems and minimax inequalities in $$G$$-convex spaces. Zbl 1124.54004
Balaj, M.; Lin, L. J.
2007
Two minimax inequalities in $$G$$-convex spaces. Zbl 1090.49004
Balaj, Mircea
2006
Generalizations of the Fan-Browder fixed point theorem and minimax inequalities. Zbl 1111.54032
Balaj, Mircea; Muresan, Sorin
2005
Minimax inequalities in $$G$$-convex spaces. Zbl 1080.49004
Balaj, Mircea
2005
Weakly $$G$$-KKM mappings, $$G$$-KKM property, and minimax inequalities. Zbl 1053.54028
Balaj, Mircea
2004
Haar spaces and polynomial selections. Zbl 1017.26021
Balaj, Mircea; Wąsowicz, Szymon
2003
Fixed point theorems, section properties and minimax inequalities on $$K$$-$$G$$-convex spaces. Zbl 1010.54046
Balaj, Mircea
2002
Applications of two matching theorems in generalized convex spaces. Zbl 1034.54016
Balaj, M.
2002
A unified generalization of two Halpern’s fixed point theorems and applications. Zbl 1020.47043
Balaj, Mircea
2002
Intersection results and fixed point theorems in $$H$$-spaces. Zbl 1061.54028
Balaj, M.
2001
Admissible maps, intersection results, coincidence theorems. Zbl 1068.47068
Balaj, Mircea
2001
Remarks on Bárány’s theorem and affine selections. Zbl 0966.52005
Balaj, Mircea; Nikodem, Kazimierz
2000
Finite families of convex sets with convex union. Zbl 0858.52002
Balaj, Mircea
1993
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#### Cited by 93 Authors

 24 Balaj, Mircea 10 Lin, Lai-Jiu 10 Phan Quôc Khánh 9 O’Regan, Donal 7 Agarwal, Ravi P. 6 Võ Sĩ Trọng Long 6 Yang, Zhe 5 Quan, Nguyen Hong 4 Bessenyei, Mihály 4 Dinh The Luc 3 Inoan, Daniela Ioana 3 Lu, Haishu 3 Pu, Yongjian 3 Tang, Gusheng 2 Cheng, Cao-Zong 2 Chuang, Chih-Sheng 2 Darabi, Marzie 2 He, Ronghua 2 Huang, Nan-Jing 2 Hung, Nguyen Van 2 Khamsi, Mohamed Amine 2 Latif, Abdul 2 Mitrović, Zoran D. 2 Park, Sehie 2 Plubtieng, Somyot 2 Popovics, Bella 2 Sitthithakerngkiet, Kanokwan 2 Yang, Mingge 2 Zafarani, Jafar 2 Zhang, Qingbang 1 Abbas, Mujahid 1 Abbaszadeh, Sadegh 1 Ahmad, Rais 1 Amiri, P. 1 Aranđelović, Ivan D. 1 Beg, Ismat 1 de la Sen, Manuel 1 Deng, Lei 1 Dhara, Anulekha 1 Ding, Xie Ping 1 Duong, Truong Thi Thuy 1 Eshaghi Gordji, Madjid 1 Fang, Min 1 Fang, Min 1 Farhad, Zahra 1 Fechner, Włodzimierz 1 Fierro, Raúl 1 Ghaem Alizadeh, Camellia 1 Gutiérrez, César 1 Hong, Shihuang 1 Hu, Qingwen 1 Huang, Hui 1 Iusem, Alfredo Noel 1 Jorquera, Eduardo Daniel 1 Kassay, Gábor 1 Kiliçman, Adem 1 Kindler, Jürgen 1 Klim, Dorota 1 Li, Chunhong 1 Li, Jinlu 1 Li, Rong 1 Liu, Jinwang 1 Liu, Jiuqiang 1 Martinez, Carlos 1 Morales, Claudio H. 1 Nasri, Mostafa 1 Nguyen Van Hung 1 Novo-Sanjurjo, Vicente 1 Phan Thanh Kieu 1 Rahaman, Mijanur 1 Ródenas-Pedregosa, Juan Luis 1 Ruiz Galán, Manuel 1 Shan, Shuqiang 1 Shi, Lefeng 1 Sikorska, Justyna 1 Szokol, Patrícia 1 Tri, Vo Viet 1 Wang, Haijun 1 Wang, Lei 1 Wang, Mingyu 1 Wang, Zhihua 1 Wąsowicz, Szymon 1 Wen, Chingfeng 1 Włodarczyk, Kazimierz 1 Xie, Linsen 1 Ye, Yu-Chia 1 Yu, Zenn-Tsuen 1 Yuan, Yi 1 Zhang, Jihui 1 Zhang, Weibing 1 Zhao, Chunxiang 1 Zhu, Lizhi 1 Zou, Jiangqian
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#### Cited in 36 Serials

 10 Fixed Point Theory and Applications 9 Journal of Optimization Theory and Applications 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Journal of Global Optimization 6 Journal of Inequalities and Applications 5 Abstract and Applied Analysis 5 Journal of Fixed Point Theory and Applications 4 Journal of Mathematical Analysis and Applications 4 Applied Mathematics and Mechanics. (English Edition) 4 Optimization 3 Computers & Mathematics with Applications 3 Numerical Functional Analysis and Optimization 2 Journal of Geometry 2 Mathematische Nachrichten 2 Topology and its Applications 2 Indagationes Mathematicae. New Series 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Applicable Analysis 1 Acta Mathematica Vietnamica 1 International Journal of Mathematics and Mathematical Sciences 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 Applications of Mathematics 1 SIAM Journal on Optimization 1 Georgian Mathematical Journal 1 Positivity 1 Mathematical Methods of Operations Research 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics 1 Journal of Function Spaces and Applications 1 Optimization Letters 1 ISRN Applied Mathematics 1 Cogent Mathematics 1 Constructive Mathematical Analysis
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#### Cited in 16 Fields

 54 Calculus of variations and optimal control; optimization (49-XX) 49 Operator theory (47-XX) 31 General topology (54-XX) 24 Operations research, mathematical programming (90-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Convex and discrete geometry (52-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Real functions (26-XX) 5 Difference and functional equations (39-XX) 3 Functional analysis (46-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Approximations and expansions (41-XX) 2 Numerical analysis (65-XX) 1 Nonassociative rings and algebras (17-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX)