Explicit and implicit complementarity problems in a Hilbert space
type: Item
instance of: scholarly article
title: Explicit and implicit complementarity problems in a Hilbert space
zbMATH Open document ID: 1097.90060
DOI: 10.4171/ZAA/1130
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2003-01-01T00:00:00Z
review text: Summary: We present some new results about solvability of implicit complementarity problems in a Hilbert space. We discuss two approaches. One of them is based on the usual change of variables and reduces the implicit complementarity problem to the explicit one. The second approach is based on the Skrypnik degree which, in the case of mappings in a Hilbert space, is essentially more general in comparison with the classical Leray-Schauder degree. In both cases, the solvability results are formulated in terms of auxiliary complementarity problems with parameter.
Mathematics Subject Classification ID: 90C33
Mathematics Subject Classification ID: 46N10
Mathematics Subject Classification ID: 47N10
Mathematics Subject Classification ID: 55M20
Mathematics Subject Classification ID: 55M25
Mathematics Subject Classification ID: 90C48
zbMATH DE Number: 1895112
author: Antonio Carbone
author: Peter P. Zabreĭko
MaRDI profile type: Publication
cites work: Some remarks on complementarity problems in a Hilbert space
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cites work: Q3825602
cites work: Complementarity problems
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cites work: Projection methods, isotone projection cones, and the complementarity problem
description: scientific article; zbMATH DE number 1895112