On Minty vector variational-like inequality

Authors:
Xiao Gang;Sanyang Liu
Affiliations:
Department of Applied Mathematics, Xidian University, Xi'an, Shaanxi 710071, PR China;Department of Applied Mathematics, Xidian University, Xi'an, Shaanxi 710071, PR China
Venue:
Computers & Mathematics with Applications
Year:
2008

Citing 2
Cited 2

Characterizations and applications of prequasi-invex functions

Journal of Optimization Theory and Applications
Existence of Solutions and Star-shapedness in Minty Variational Inequalities

Journal of Global Optimization

Some relations between Minty variational-like inequality problems and vectorial optimization problems in Banach spaces

Computers & Mathematics with Applications
Generalized vector variational-like inequalities and vector optimization

Journal of Global Optimization

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Abstract

This paper is devoted to the study of relationships between solutions of Minty vector variational-like inequalities (MVVLI) and solutions of vector optimization problems (VOP), as well as some relations between solutions of MVVLI and Stampacchia vector variational-like inequalities (SVVLI). Moreover, some relations between MVVLI and perturbed vector variational-like inequalities are established. Our results generalize some known results.