Some properties of semi-E-preinvex maps in Banach spaces

被引：11
作者：
Luo, Zhiming [1 ]
Jian, Jinbao [2 ]
机构：
[1] Hunan Univ Commerce, Dept Informat, Changsha 410205, Hunan, Peoples R China
[2] Guangxi Univ, Coll Math & Informat Sci, Nanning 530004, Guangxi, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2011年 / 12卷 / 02期
关键词：
E-convex maps; E-preinvex maps; Semi-E-convex maps; Semi-E-preinvex maps; E-CONVEX FUNCTIONS; OPTIMALITY; SETS;
D O I：
10.1016/j.nonrwa.2010.09.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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) 1121, Fulga and Preda (2009) [15] to semi-E-preinvex maps in Banach spaces. Some properties of these classes are studied. (C) 2010 Elsevier Ltd. All rights reserved.
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页码：1243 / 1249
页数：7
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