Accession Number : AD0727700

Title :   Convergence Properties of Local Solutions of Sequences of Mathematical Programming Problems.

Descriptive Note : Technical paper,

Corporate Author : RESEARCH ANALYSIS CORP MCLEAN VA

Personal Author(s) : Fiacco,Anthony V.

Report Date : JUN 1971

Pagination or Media Count : 37

Abstract : The paper gives several sets of sufficient conditions that a local solution x sup k exists of the problem minimize f sup k (x) subject to x(epsilon)(R sup k) for k = 1, 2, 3,... such that (x sup k) has cluster points that are local solutions of a problem of the form minimize f(x) subject to x epsilon R. It is assumed that f(x) is a continuous real-valued function and that the underlying space is any space X on which there has been defined a notion of convergence. The concern in this paper is with the development of basic existence theorems. (Author)

Descriptors :   (*MATHEMATICAL PROGRAMMING, APPROXIMATION(MATHEMATICS)), NONLINEAR PROGRAMMING, SET THEORY, CONVERGENCE, THEOREMS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE