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Generalized vector variational inequalities with star-pseudomonotone and discontinuous operators

Authors:	Bui Trong Kien Ngai Ching Wong Jen-Chih Yao

Affiliation:	1. Department of Information and Technology, National University of Civil Engineering, 55 Giai Phong, Hanoi, Viet Nam;2. Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan

Abstract:	It is well known that a vector variational inequality can be a very efficient model for use in studying vector optimization problems. By using the Ky Fan fixed point theorem and the scalarization method we will prove some existence theorems for strong solutions for generalized vector variational inequalities where discontinuous and star-pseudomonotone operators are involved. Our results can be applied to the study of the existence of solutions of vector optimal problems. Some examples are given and analyzed.

Keywords:	Generalized vector equilibrium problem Generalized vector variational inequality Upper semicontinuity C $si1.gif" overflow=" scroll" > C$ -convexity C $si2.gif" overflow=" scroll" > C$ -upper semicontinuity Star-pseudomonotonicity
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