A fixed-point representation of the generalized complementarity problem
type: Item
instance of: scholarly article
title: A fixed-point representation of the generalized complementarity problem
zbMATH Open document ID: 0542.90096
DOI: 10.1007/BF00938441
published in: Journal of Optimization Theory and Applications
publication date: 1985-01-01T00:00:00Z
review text: \textit{B. C. Eaves} [Math. Programming, 1, 68-75 (1971; Zbl 0227.90044)] and \textit{M. Kojima} [ibid. 9, 257-277 (1975; Zbl 0347.90039)] have separately provided fixed-point representations of the standard complementarity problem. Although the mappings used to describe their representations appear to be different, this paper shows they are essentially the same, a unification that is accomplished via a geometric programming argument in the context of a more general complementarity problem.
Mathematics Subject Classification ID: 90C33
Mathematics Subject Classification ID: 90C99
zbMATH DE Number: 3862959
zbMATH Keywords: fixed points
zbMATH Keywords: dual cones
zbMATH Keywords: complementarity problem
author: Shu-Cherng Fang
author: Elmor L. Peterson
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00938441
OpenAlex ID: W2023159339
description: scientific article; zbMATH DE number 3862959