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

✍ Scribed by L. Batista dos Santos; R. Osuna-Gómez; M.A. Rojas-Medar; A. Rufián-Lizana

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
576 KB
Volume
48
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this work~ we introduce the notion of preinvex function for functions between Bar nach 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.

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In this work, we will establish some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces under invexity hypotheses. This paper extends the earlier work of Ruiz-Garzón et al. [