Mathematical Programs with System of Generalized Quasi-variational Relation Constraints in FC-Spaces
Ding Xie-ping · Journal of Sichuan Normal University · 2012
In this paper,a system of generalized quasi-variational relation problems is introduced and studied in FC-spaces.By using an existence theorem of maximal elements of set-valued mappings due to author,the nonemptyness and compactness of solution set for the system of generalized quasi-variational relation problems are proved in noncompact FC-spaces.As applications,a new existence theorem of solutions for mathematical programs with the system of generalized quasi-variational relation constraints is obtained under quite mild conditions.