Quasi-Equilibrium Problems with Applications to Infinite Optimization and Constrained Games
Ding Xie · Journal of Sichuan Normal University · 2000
The author deals with a class of quasi equilibrium problems which includes some variational and quasi variational inequality problems and quasi complementarity problems as special cases. Some existence theorems of solutions for the quasi equilibrium problems are proved under noncompact setting of topological vector spaces. As applications, sevel existence theorems of solutions for infinite optimization problems and constrained games are obatined under much weaker assumptions in topological vector spaces.