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
✦ LIBER ✦
Some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces
✍ Scribed by Lucelina Batista dos Santos; Gabriel Ruiz-Garzón; Marko A. Rojas-Medar; Antonio Rufián-Lizana
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 227 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
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. [
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