Quasi-P\(_*\)-maps, P(\(\tau,\alpha,\beta\))-maps, exceptional family of elements, and complementarity problems
type: Item
instance of: scholarly article
title: Quasi-P\(_*\)-maps, P(\(\tau,\alpha,\beta\))-maps, exceptional family of elements, and complementarity problems
zbMATH Open document ID: 0971.90093
DOI: 10.1023/A:1004674330768
author: Yun-Bin Zhao
author: G. Isac
published in: Journal of Optimization Theory and Applications
publication date: 2000-09-14T00:00:00Z
review text: The authors define quasi-\(P_*\)-maps and \(P(\tau,\alpha, \beta)\)-maps for nonlinear mappings and show under a strict feasibility condition that the nonlinear complementarity problem has a solution if the function is a nonlinear quasi-\(P_*\)-map or \(P(\tau,\alpha, \beta)\)-map. Furthermore, a new existence result under an exceptional regularity condition is also established.
reviewed by: Hans Benker
Mathematics Subject Classification ID: 90C33
Mathematics Subject Classification ID: 47N10
zbMATH DE Number: 1506904
zbMATH Keywords: nonlinear mappings
zbMATH Keywords: strict feasibility
zbMATH Keywords: nonlinear complementarity problem
zbMATH Keywords: existence
MaRDI profile type: Publication
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full work available at URL: a:1004674330768
OpenAlex ID: W1504470592
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description: scientific article; zbMATH DE number 1506904