OPTIMALITY AND DUALITY WITH GENERALIZED CONVEXITY

被引：51

作者：

RUEDA, NG

HANSON, MA

SINGH, C

机构：

[1] FLORIDA STATE UNIV,DEPT STAT,TALLAHASSEE,FL 32306

[2] ST LAWRENCE UNIV,DEPT MATH,CANTON,NY 13617

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1995年 / 86卷 / 02期

关键词：

GENERALIZED CONVEXITY; DUALITY; FRACTIONAL PROGRAMMING; MULTIOBJECTIVE PROGRAMMING; MINMAX PROGRAMMING;

D O I：

10.1007/BF02192091

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：

Hanson and Mend have given sets of necessary and sufficient conditions for optimality and duality in constrained optimization by introducing classes of generalized convex functions, called type I and type II functions. Recently, Bector defined univex functions, a new class of functions that unifies several concepts of generalized convexity. In this paper, optimality and duality results for several mathematical programs are obtained combining the concepts of type I and univex functions. Examples of functions satisfying these conditions are given.

引用

页码：491 / 500

页数：10

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