Accession Number : ADA017939

Title :   Constructive Proofs of Theorems Relating to: F(x) = y, with Applications.

Descriptive Note : Research rept.,

Corporate Author : TEXAS UNIV AT AUSTIN CENTER FOR CYBERNETIC STUDIES

Personal Author(s) : Charnes,A. ; Garcia,C. B. ; Lemke,C. E.

Report Date : AUG 1975

Pagination or Media Count : 31

Abstract : Some theorems are given which relate to approximating and establishing the existence of solutions to systems F(x) = y of n equations in n unknowns, for various y, in a region of euclidean n-space (E sup n). They generalize known theorems. Viewing complementarity problems and fixed-point problems as examples, known results or generalization of known results are obtained.

Descriptors :   *Algebraic topology, Theorems

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE