<i>E</i>-convex sets, <i>E</i>-convex functions, and <i>E</i>-convex programming

作     者：Youness, EA 

作者机构：Tanta Univ Fac Sci Dept Math Tanta Egypt 

出 版 物：《JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS》 (优选法理论与应用杂志)

年 卷 期：1999年第102卷第2期

页      面：439-450页

核心收录：

学科分类：1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：convex sets convex functions generalized convexity convex programming 

摘      要：A class of sets and a class of functions called E-convex sets and E-convex functions are introduced by relaxing the definitions of convex sets and convex functions. This kind of generalized convexity is based on the effect of an operator E on the sets and domain of definition of the functions. The optimality results for E-convex programming problems are established.