Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
471725 | Computers & Mathematics with Applications | 2010 | 10 Pages |
Abstract
This paper is devoted to the study of relationships between solutions of Stampacchia and Minty vector variational-like inequalities, weak and strong Pareto solutions of vector optimization problems and vector critical points in Banach spaces under pseudo-invexity and pseudo-monotonicity hypotheses. We have extended the results given by Gang and Liu (2008) [22] to Banach spaces and the relationships obtained for weak efficient points in Santos et al. (2008) [21] are completed and enabled to relate vector critical points, weak efficient points, solutions of the Minty and Stampacchia weak vector variational-like inequalities problems and solutions of perturbed vector variational-like inequalities problems.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Gabriel Ruiz-Garzón, Lucelina Batista dos Santos, Antonio Rufián-Lizana, Manuel Arana-Jiménez,