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