Indian Journal of Industrial and Applied Mathematics
  • Year: 2012
  • Volume: 3
  • Issue: 1Special

Relationships between Optimization of V-invex Function and Vector Variational-like Inequalities

  • Author:
  • S. K. Mishrat1,, Vivek Laha2,, Bader Al Shamary3
  • Total Page Count: 10
  • Published Online: Jun 1, 2012
  • Page Number: 104 to 113

1Associate Professor, Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi-221005, India

2Research Scholar Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi-221 005, India

3Department of Mathematics and Computer Science, Kuwait University, Kuwait

*Author for Correspondence. E-mail: bhu.skmishra@gmail.com

**E-mails:laha.vivek333@gmail.com

Abstract

In this paper, we will establish the relationships between vector variational-like inequality and optimization problems under V-Invexity. We will be able to identify the vector critical points, the weakly efficient points and the solutions of the weak vector variational-like inequality problem, under conditions of V-pseudo invexity. These conditions are more general than those existing in the literature.

Keywords

Mathematical programming, V-pseudo invex functions, Vector variational-like inequality problems, 49J40, 90C29