Invex Functions and Existence of Weakly Efficient Solutions for Nonsmooth Vector Optimization

Author(s): Lucelina Batista Santos, Marko Rojas-Medar, Gabriel Ruiz-Garz´on and Antonio Rufi´an-Lizana

Pp: 61-74 (14)

* (Excluding Mailing and Handling)

Abstract

In this work we study the existence of weakly efficient solutions for some nonsmooth and nonconvex vector optimization problems. We consider problems whose objective functions are defined between infinite and finite-dimensional Banach spaces. Our results are stated under hypotheses of generalized convexity and make use of variational-like inequalities.

Keywords: Vector Optimization; Nonsmooth Analysis; Invex Functions; Variationallike inequalities.

Cite as