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
β¦ LIBER β¦
Some properties of semi--preinvex maps in Banach spaces
β Scribed by Zhiming Luo; Jinbao jian
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 233 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1468-1218
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper, we extend the class of E-convex, semi-E-convex, E-preinvex functions in n-dimensional spaces introduced by Youness (1999) [10], respectively by Syau and Lee (2005) [14], Chen (2002) [12], Fulga and Preda (2009) [15] to semi-E-preinvex maps in Banach spaces. Some properties of these classes are studied.
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