REFE-acceptable mappings: Necessary and sufficient condition for the nonexistence of a regular exceptional family of elements
type: Item
instance of: scholarly article
title: REFE-acceptable mappings: Necessary and sufficient condition for the nonexistence of a regular exceptional family of elements
zbMATH Open document ID: 1163.90033
published in: Journal of Optimization Theory and Applications
publication date: 2008-07-25T00:00:00Z
review text: The authors consider the nonlinear complementarity problem (NCP) on Hilbert spaces, and introduce the class of (Regular Exceptional Family of Elements) REFE-acceptable functions as a mapping defined on a closed convex cone for which NCP has a solution or a REFE. Several instances of REFE-acceptable mappings are provided. In addition a necessary and sufficient condition for the non existence of REFE is established.
Mathematics Subject Classification ID: 90C33
zbMATH DE Number: 5304085
zbMATH Keywords: REFE-acceptable mappings
zbMATH Keywords: Regular exceptional family of elements
zbMATH Keywords: Nonlinear complementarity problems
author: G. Isac
author: S. Z. Németh
reviewed by: Fabián Flores-Bazan
MaRDI profile type: Publication
full work available at URL: s10957-007-9344-4
OpenAlex ID: W2012066853
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DOI: 10.1007/S10957-007-9344-4
description: scientific article; zbMATH DE number 5304085