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Abstract
The purpose of the present paper is to prove two main theorems concerning C-monotone and C-convex multivalued mappings where C is given cone and its applications to the quasi-equilibrium problems (UPQEP), (LPQEP), (UWQEP) and (LWQEP). Moreover, we also derive some sufficient conditions on the existence of solutions of the general vector alpha optimization problems (GVOP)_alpha and derive a sufficient condition on the existence of equilibrium points.
How to Cite this Article:
Tran Van Su, Than Van Dinh, On the existence of solutions of quasi-equilibrium problems (UPQEP), (LPQEP), (UWQEP) and (LWQEP) and related problems, Communications in Optimization Theory 2016 (2016), Article ID 3.