E-convex sets, E-convex functions, and E-convex programming

被引：180

作者：

Youness, EA ^{[1
]}

机构：

[1] Tanta Univ, Fac Sci, Dept Math, Tanta, Egypt

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1999年 / 102卷 / 02期

关键词：

convex sets; convex functions; generalized convexity; convex programming;

D O I：

10.1023/A:1021792726715

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

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.

引用

页码：439 / 450

页数：12