Some existence results for generalized vector quasi-equilibrium problems

Document Type : Research Paper

Authors

1 Department of Mathematics‎, ‎Aligarh Muslim University‎, ‎Aligarh-202002‎, ‎India

2 Department of Mathematics Faculty of Science Islamic University in Madinah, Madinah‎, ‎KSA

Abstract

‎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.

Keywords

Main Subjects