ASYMPTOTIC APPROXIMATION METHOD AND ITS CONVERGENCE ON SEMI-INFINITE PROGRAMMING

doi:10.1016/S0252-9602(06)60022-2

数学物理学报(英文版)

ASYMPTOTIC APPROXIMATION METHOD AND ITS CONVERGENCE ON SEMI-INFINITE PROGRAMMING

万仲平; 王先甲; 何炬林; 贾世会

武汉大学数学与统计学院, 武汉 430072

收稿日期:2002-11-04 修回日期:2004-02-10 出版日期:2006-01-20 发布日期:2006-01-20
通讯作者: 万仲平
基金资助:
Supported by the National Key Basic Research Special Fund(2003CB415200), the National Science Foundation(70371032 and 60274048) and the Doctoral
Foundation of the Ministry of Education(20020486035).

ASYMPTOTIC APPROXIMATION METHOD AND ITS CONVERGENCE ON SEMI-INFINITE PROGRAMMING

Wan Zhongping; Wang Xianjia; He Julin; Jia Shihui

School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received:2002-11-04 Revised:2004-02-10 Online:2006-01-20 Published:2006-01-20
Contact: Wan Zhongping

摘要/Abstract

摘要：

The aim of this article is to discuss an asymptotic approximation model and its convergence for the minimax semi-infinite programming problem. An asymptotic surrogate constraints method for the minimax semi-infinite programming problem is presented by making use of two general discrete
approximation methods. Simultaneously, the consistence and the epi-convergence of the asymptotic approximation problem are discussed.

关键词: Semi-infinite programming, asymptotic approximation, convergence

Abstract:

Key words: Semi-infinite programming, asymptotic approximation, convergence

中图分类号:

90C34

万仲平; 王先甲; 何炬林; 贾世会. ASYMPTOTIC APPROXIMATION METHOD AND ITS CONVERGENCE ON SEMI-INFINITE PROGRAMMING[J]. 数学物理学报(英文版), 2006, 26(1): 17-24.

Wan Zhongping; Wang Xianjia; He Julin; Jia Shihui. ASYMPTOTIC APPROXIMATION METHOD AND ITS CONVERGENCE ON SEMI-INFINITE PROGRAMMING[J]. Acta mathematica scientia,Series B, 2006, 26(1): 17-24.

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ASYMPTOTIC APPROXIMATION METHOD AND ITS CONVERGENCE ON SEMI-INFINITE PROGRAMMING

ASYMPTOTIC APPROXIMATION METHOD AND ITS CONVERGENCE ON SEMI-INFINITE PROGRAMMING

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