Quasi-equilibrium Problems and Fixed Point Theorems of the Product Mapping of Lower and Upper Semicontinuous Mappings
Nguyen Xuan Tan, Nguyen Quynh Hoa · Journal of Advances in Applied Mathematics · 2017
In this paper, we introduce generalized quasi-equilibrium problems.These contain several problems in the optimization theory as special cases.We give sufficient conditions on the existence of their solutions.In particular, we establish several results on the existence of fixed p oints for product mappings of lower and upper semicontinuous mappings.These results generalize some well-known fixed p oint t heorems o btained by p revious a uthors a s F .E .B rowder a nd K y F an, X.