Chapter 5

Invex functions and existence of weakly efficient solutions for nonsmooth vector optimization

Lucelina Batista Santos, Marko Rojas-Medar, Gabriel Ruiz-Garz´on and Antonio Rufi´an-Lizana

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.

Total Pages: 61-74 (14)

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