References
- Alleche B, Rădulescu VD. Equilibrium problems techniques in the qualitative analysis of quasi-hemivariational inequalities. Optimization. 2015;64:1855–1868.
- Bento GC, Cruz JX, Neto JO, et al. Generalized proximal distances for bilevel equilibrium problems. SIAM J. Optim. 2016;26:810–830.
- Bigi G, Capătă A, Kassay G. Existence results for strong vector equilibrium problems and their applications. Optimization. 2012;61:567–583.
- Farajzadeh AP, Plubtieng S, Ungchittrakool K, et al. Generalized mixed equilibrium problems with generalized α-ν-monotone bifunction in topological vector spaces. Appl. Math. Comput. 2015;265:313–319.
- Han Y, Huang N-J. The connectedness of the solutions set for generalized vector equilibrium problems. Optimization. 2016;65:357–367.
- Kassay G, Miholca M. Vector quasi-equilibrium problems for the sum of two multivalued mappings. J. Optim. Theory Appl. 2016;169:424–442.
- Kumam W, Witthayarat U, Kumam P, et al. Convergence theorem for equilibrium problem and Bregman strongly nonexpansive mappings in Banach spaces. Optimization. 2016;65:265–280.
- Li X-B, Huang N-J. Generalized vector quasi-equilibrium problems on Hadamard manifolds. Optim. Lett. 2015;9:155–170.
- Lin LJ, Chen LF, Ansari QH. Generalized abstract economy and systems of generalized vector quasi-equilibrium problems. J. Comput. Appl. Math. 2007;208:341–352.
- Liu Z, Zeng S. Equilibrium problems with generalized monotone mapping and its applications. Math. Methods Appl. Sci. 2016;39:152–163.
- Long X-J, Peng J-W, Wu S-Y. Generalized vector variational-like inequalities and nonsmooth vector optimization problems. Optimization. 2012;61:1075–1086.
- Qiu QS. Optimality conditions for vector equilibrium problems with constraints. J. Ind. Manage. Optim. 2009;5:783–790.
- Patriche M. New results on systems of generalized vector quasi-equilibrium problems. Taiwanese J. Math. 2015;19:253–277.
- Patriche M. Applications of the KKM property to coincidence theorems, equilibrium problems, minimax inequalities and variational relation problems, submitted.
- Patriche M. Generalized vector quasi-equilibrium problems involving set-valued maps and relaxed continuity, submitted.
- Sadeqi I, Salehi Paydar M. Lipschitz continuity of an approximate solution mapping for parametric set-valued vector equilibrium problems. Optimization. 2016;65:1003–1021.
- Shafer W, Sonnenschein H. Equilibrium in abstract economies without ordered preferences. J. Math. Econ. 1975;2:345–348.
- Nash JF. Equilibrium points in n-person games. Proc. Nat. Acad. Sci. USA. 1950;36:48–49.
- Nash JF. Non-cooperative games. Ann. Math. 1951;54:286–295.
- Hervés-Beloso C, Patriche M. A fixed-point theorem and equilibria of abstract economies with weakly upper semicontinuous set-valued map. J. Optim. Theory Appl. 2014;163:719–736.
- Kim WK, Tan KK. New existence theorems of equilibria and applications. Nonlinear Anal. 2001;47:531–542.
- Yannelis NC, Prabhakar ND. Existence of maximal elements and equilibrium in linear topological spaces. J. Math. Econ. 1983;12:233–245.
- Ferrara M, Stefanescu A. Equilibrium in choice for generalized games. Vol. 98, Mathematics in the 21st century, springer proceedings in mathematics & statistics. Basel: Springer Basel; 2015. p. 19–30.
- Stefanescu A, Ferrara M. Implementation of voting operators. J. Math. Econ. 2006;42:315–324.
- Stefanescu A, Ferrara M, Stefanescu MV. Equilibria of the games in choice form. J. Optim. Theory Appl. 2012;155:1060–1072.
- Debreu G. A social equilibrium existence theorem. Proc. Nat. Acad. Sci. USA. 1952;38:386–393.
- Outrata JV. A note on a class of equilibrium problems with equilibrium constraints. Kybernetika. 2004;40:585–594.
- Khan AA, Tammer C, Zalinescu C. Set-valued optimization. Berlin Heidelberg: Springer; 2015.
- Bao TQ, Mordukhovich BS. Relative Pareto minimizers for multiobjective problems: existence and optimality conditions. Math. Program. 2010;122:101–138.
- Mordukhovich BS. Multiobjective optimization problems with equilibrium constraints. Math. Program. 2009;117:331–354.
- Khan MA, Yannelis NC. Equilibrium theory in infinite dimensional spaces. Berlin Heidelberg: Springer Science & Business Media; 2013.
- Istratescu V. Fixed point theory, an introduction. Holland: D. Reidel; 1981.
- Klein E, Thompson AC. Theory of correspondences. Canadian mathematical society series of monographs & advanced texts. New York (NY): Wiley; 1984.
- Fan K. Fixed-point and minimax theorems in locally convex topological linear spaces. Proc. Nat. Acad. Sci. USA. 1952;38:121–126.