Vector optimization and variational-like inequalities

Authors:
M. Rezaie;J. Zafarani
Affiliations:
Department of Mathematics, University of Isfahan, Isfahan, Iran 81745-163;Department of Mathematics, University of Isfahan, Isfahan, Iran 81745-163 and Sheikhbahaee University, Isfahan, Iran
Venue:
Journal of Global Optimization
Year:
2009

Citing 8
Cited 2

Existence of solutions for a vector variational inequality: an extension of the Hartmann-Stampacchia theorem

Journal of Optimization Theory and Applications
Nonsmooth analysis and control theory

Nonsmooth analysis and control theory
On vector variational inequalities: application to vector equilibria

Journal of Optimization Theory and Applications
On nondifferentiable and nonconvex vector optimization problems

Journal of Optimization Theory and Applications
Semicontinuous Mappings into T.V.S. with Applications to Mixed Vector Variational-Like Inequalities

Journal of Global Optimization
Vector Variational Inequalities for Nondifferentiable Convex Vector Optimization Problems

Journal of Global Optimization
Generalized Invariant Monotonicity and Invexity of Non-differentiable Functions

Journal of Global Optimization
Minty's lemma and vector variational-like inequalities

Journal of Global Optimization

Vector optimization problem and generalized convexity

Journal of Global Optimization
Generalized vector variational-like inequalities and vector optimization

Journal of Global Optimization

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, some properties of pseudoinvex functions are obtained. We study the equivalence between different solutions of the vector variational-like inequality problem. Some relations between vector variational-like inequalities and vector optimization problems for non-differentiable functions under generalized monotonicity are established.