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On the regularization of mixed complementarity problems

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dc.contributor.authorAndreani, R. [UNESP]
dc.contributor.authorMartínez, J. M.
dc.contributor.authorSvaiter, B. F.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.contributor.institutionIMPA
dc.date.accessioned2014-05-27T11:19:58Z
dc.date.available2014-05-27T11:19:58Z
dc.date.issued2000-12-01
dc.description.abstractA variational inequality problem (VIP) satisfying a constraint qualification can be reduced to a mixed complementarity problem (MCP). Monotonicity of the VIP implies that the MCP is also monotone. Introducing regularizing perturbations, a sequence of strictly monotone mixed complementarity problems is generated. It is shown that, if the original problem is solvable, the sequence of computable inexact solutions of the strictly monotone MCP's is bounded and every accumulation point is a solution. Under an additional condition on the precision used for solving each subproblem, the sequence converges to the minimum norm solution of the MCP. Copyright © 2000 by Marcel Dekker, Inc.en
dc.description.affiliationDepartment of Computer Science and Statistics University of the State of S. Paulo (UNESP), C.P. 136, CEP 15054-000, Sao Jose Rio Preto-SP
dc.description.affiliationDepartment of Applied Mathematics IMECC-UNICAMP University of Camp-inas, CP 6065, 13081-970 Campinas SP
dc.description.affiliationIMPA
dc.description.affiliationUnespDepartment of Computer Science and Statistics University of the State of S. Paulo (UNESP), C.P. 136, CEP 15054-000, Sao Jose Rio Preto-SP
dc.format.extent589-600
dc.identifierhttp://dx.doi.org/10.1080/01630560008816976
dc.identifier.citationNumerical Functional Analysis and Optimization, v. 21, n. 5-6, p. 589-600, 2000.
dc.identifier.doi10.1080/01630560008816976
dc.identifier.issn0163-0563
dc.identifier.scopus2-s2.0-0342521589
dc.identifier.urihttp://hdl.handle.net/11449/66314
dc.identifier.wosWOS:000089189600004
dc.language.isoeng
dc.relation.ispartofNumerical Functional Analysis and Optimization
dc.relation.ispartofjcr0.827
dc.relation.ispartofsjr0,544
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectComplementarity
dc.subjectInexact solutions
dc.subjectMinimization algorithms
dc.subjectPerturbations
dc.subjectReformulation
dc.subjectVariational inequalities
dc.subjectAlgorithms
dc.subjectConstraint theory
dc.subjectConvergence of numerical methods
dc.subjectMathematical operators
dc.subjectOptimization
dc.subjectPerturbation techniques
dc.subjectMixed complementarity problems
dc.subjectMonotone operators
dc.subjectVariational inequality problem
dc.subjectVariational techniques
dc.titleOn the regularization of mixed complementarity problemsen
dc.typeArtigo
dcterms.licensehttp://journalauthors.tandf.co.uk/permissions/reusingOwnWork.asp
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentCiências da Computação e Estatística - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas