On Vector Variational Inequalities in Reflexive Banach Spaces

Authors:
Nan-Jing Huang;Ya-Ping Fang
Affiliations:
Department of Mathematics, Sichuan University, Chengdu, P.R.China;Department of Mathematics, Sichuan University, Chengdu, P.R.China
Venue:
Journal of Global Optimization
Year:
2005

Citing 8
Cited 7

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

Journal of Optimization Theory and Applications
Vector variational inequality and its duality

Nonlinear Analysis: Theory, Methods & Applications
Vector complementarity and minimal element problems

Journal of Optimization Theory and Applications
On vector variational inequalities

Journal of Optimization Theory and Applications
On vector variational inequalities

Journal of Optimization Theory and Applications
Simultaneous vector variational inequalities and vector implicit complementarity problem

Journal of Optimization Theory and Applications
Vector variational inequality and vector pseudolinear optimization

Journal of Optimization Theory and Applications
On vector variational inequalities: application to vector equilibria

Journal of Optimization Theory and Applications

Generalized vector variational-type inequalities

Computers & Mathematics with Applications
Stampacchia generalized vector quasi-equilibrium problem with set-valued mapping

Journal of Global Optimization
Existence of solutions of generalized vector variational-type inequalities with set-valued mappings

Computers & Mathematics with Applications
Existence theorems for generalized vector variational inequalities with a variable ordering relation

Journal of Global Optimization
On the stability of solution mapping for parametric generalized vector quasiequilibrium problems

Computers & Mathematics with Applications
Existence and stability of solutions for generalized strong vector quasi-equilibrium problem

Mathematical and Computer Modelling: An International Journal
Continuity of the solution mapping to parametric generalized vector equilibrium problems

Journal of Global Optimization

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, we study the solvability for a class of vector variational inequalities in reflexive Banach spaces. By using Brouwer fixed point theorem, we prove the solvability for this class of vector variational inequalities without monotonicity assumption. The solvability results for this class of vector variational inequalities with monotone mappings are also presented by using the KKM-Fan lemma