Document Type : Research Paper
Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India
Department of Mathematics Faculty of Science Islamic University in Madinah, Madinah, KSA
In this paper, we introduce and study a class of generalized vector quasi-equilibrium problem, which includes many vector equilibrium problems, equilibrium problems, vector variational inequalities and variational inequalities as special cases. Using one person game theorems, the concept of escaping sequences and without convexity assumptions, we prove some existence results for generalized vector quasi-equilibrium problem.