Accession Number : AD0679493

Title :   MATHEMATICAL PROGRAMMING IN PARTIALLY ORDERED BANACH SPACES.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Ritter,K.

Report Date : FEB 1968

Pagination or Media Count : 47

Abstract : The purpose of this paper is to derive several necessary and sufficient conditions for the optimal solution of a mathematical programming problem in partially ordered Banach spaces. It is assumed that the objective function of this problem is defined by a nonlinear operator and its feasible domain is determined by a finite number of operator equations and inequalities as well as the restriction of the variable to an arbitrary convex set. (Author)

Descriptors :   (*NONLINEAR PROGRAMMING, BANACH SPACE), OPTIMIZATION, STEEPEST DESCENT METHOD, CONVEX SETS, INEQUALITIES, THEOREMS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE