Existence results for quasi-equilibrium problems under a weaker equilibrium condition

Agarwal, 2017, Common fixed point theorems in topological vector spaces via intersection theorems, J. Optim. Theory Appl., 173, 443, 10.1007/s10957-017-1082-7 Aliprantis, 2006 Alleche, 2016, Solutions and approximate solutions of quasi-equilibrium problems in Banach spaces, J. Optim. Theory Appl., 170, 629, 10.1007/s10957-015-0854-1 Ansari, 2003, On vector quasi-equilibrium problems, vol. 68, 1 Aussel, 2017, An existence result for quasi-equilibrium problems, J. Convex Anal., 24, 55 Blum, 1994, From optimization and variational inequalities to equilibrium problems, Math. Student, 63, 123 Castellani, 2015, An existence result for quasiequilibrium problems in separable Banach spaces, J. Math. Anal. Appl., 425, 85, 10.1016/j.jmaa.2014.12.022 Castellani, 2019, A coercivity condition for nonmonotone quasiequilibria on finite-dimensional spaces, J. Global Optim., 75, 163, 10.1007/s10898-019-00811-z Castellani, 2018, A Ky Fan minimax inequality for quasiequilibria on finite-dimensional spaces, J. Optim. Theory Appl., 179, 53, 10.1007/s10957-018-1319-0 Chen, 2003, Remarks on generalized quasi-equilibrium problems, Nonlinear Anal., 52, 433, 10.1016/S0362-546X(02)00106-2 Cotrina, 2020, Existence of quasi-equilibria on unbounded constraint sets, Optimization, 1 Cotrina, 2018, A note on quasi-equilibrium problems, Oper. Res. Lett., 46, 138, 10.1016/j.orl.2017.12.002 Cubiotti, 1997, Existence of Nash equilibria for generalized games without upper semicontinuity, Internat. J. Game Theory, 26, 267, 10.1007/BF01295855 Fan, 1972, A minimax inequality and applications, 103 Himmelberg, 1972, Fixed points of compact multifunctions, J. Math. Anal. Appl., 38, 205, 10.1016/0022-247X(72)90128-X Jameson, 1970, vol. 141 Jeyakumar, 1993, A solvability theorem for a class of quasiconvex mappings with applications to optimization, J. Math. Anal. Appl., 179, 537, 10.1006/jmaa.1993.1368 Khaliq, 2003, Vector quasi equilibrium problems, Bull. Aust. Math. Soc., 68, 295, 10.1017/S0004972700037679 Mosco, 1976, Implicit variational problems and quasi variational inequalities, vol. 543, 83 Tian, 1991, Quasi-variational inequalities with noncompact sets, J. Math. Anal. Appl., 160, 583, 10.1016/0022-247X(91)90328-W Zhou, 1988, Diagonal convexity conditions for problems in convex analysis and quasi-variational inequalities, J. Math. Anal. Appl., 132, 213, 10.1016/0022-247X(88)90054-6