Preinvex functions and weak efficient solutions for some vectorial optimization problem in Banach spaces

Authors:
L. Batista dos Santos;R. Osuna-Gómez;M. A. Rojas-Medar;A. Rufián-Lizana
Affiliations:
-;-;-;-
Venue:
Computers & Mathematics with Applications
Year:
2004

Citing 3
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Abstract

In this work, we introduce the notion of preinvex function for functions between Banach spaces. By using these functions, we obtain necessary and sufficient conditions of optimality for vectorial problems with restrictions of inequalities. Moreover, we will show that this class of problems has the property that each local optimal solution is in fact global.