ON GENERALIZED VARIATIONAL INEQUALITY PROBLEMS

HAMID M. GOLSHAN; ALI  FARAJZADEH

ON GENERALIZED VARIATIONAL INEQUALITY PROBLEMS

Authors

HAMID M. GOLSHAN Department of Mathematics, Islamic Azad University, Ashtian branch, P. O. Box 3961813347,Ashtian, Iran
ALI FARAJZADEH Department of Mathematics, Islamic Azad University, Ashtian branch, P. O. Box 3961813347,Ashtian, Iran

Keywords:

Implicit vector variational inequality, Set valued mapping, Affinemapping, C-pseudomonotone, Strongly C-pseudomonotone

Abstract

In this paper, we introduce and study the generalized implicit vectorvariational inequality problems with set valued mappings in topological vector spaces. We establish existence theorems for the solution set of these problems to be nonempty compact and convex. Our results extend the results by Fang and Huang [Existence results for generalized implicit vector variational inequalities with multivalued mappings, Indian J. Pure and Appl. Math. 36(2005), 629640].