Existence of solutions for generalized vector quasi-equilibrium problems in abstract convex spaces with applications

Wei-bing Zhang, Shu-qiang Shan, Nan-jing Huang
2015 Fixed Point Theory and Applications  
In this paper, several kinds of generalized vector quasi-equilibrium problems are introduced and studied in abstract convex spaces. Using the properties of -convex and KC-maps, some sufficient conditions are given to guarantee the existence of solutions in connection with these generalized vector quasi-equilibrium problems. As applications, some existence theorems of solutions for the generalized semi-infinite programs with vector quasi-equilibrium constraints are also given.
doi:10.1186/s13663-015-0277-6 fatcat:g77oyinjybh3zf6soawzka367q