ASYMPTOTIC APPROXIMATION METHOD AND ITS CONVERGENCE ON SEMI-INFINITE PROGRAMMING

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

Acta mathematica scientia,Series B

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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

Abstract

Abstract:

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.

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

CLC Number:

90C34

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

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