Invex Functions and Existence of Weakly Efficient Solutions for Nonsmooth Vector Optimization
Lucelina Batista Santos, Marko Antonio Rojas-Medar, Gabriel Ruiz Garzón, Antonio Rufián-Lizana · BENTHAM SCIENCE PUBLISHERS eBooks · 2010
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.