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Asymptotic approximation method and its convergence on semi-infinite programming

Zhong-Ping Wan (zpwan***at***public.wh.hb.cn)

Abstract: The aim of this paper 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 making use of two general iscreteapproximation methods. Simultaneously, we discuss the consistenceand the epi-convergence of the asymptotic approximation problem.

Keywords: semi-infinite programming; asymptotic approximation; convergence.

Category 1: Infinite Dimensional Optimization (Semi-infinite Programming )

Citation: School of Mathematics and Statistics Wuhan Univ., Wuhan 430072 China

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Entry Submitted: 02/04/2003
Entry Accepted: 02/06/2003
Entry Last Modified: 02/27/2003

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