Acta mathematica scientia, Series B >
ASYMPTOTIC APPROXIMATION METHOD AND ITS CONVERGENCE ON SEMI-INFINITE PROGRAMMING
Received date: 2002-11-04
Revised date: 2004-02-10
Online published: 2006-01-20
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
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 . DOI: 10.1016/S0252-9602(06)60022-2
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