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dc.contributor.authorWang, Song
dc.contributor.authorYang, X.
dc.date.accessioned2017-01-30T12:33:31Z
dc.date.available2017-01-30T12:33:31Z
dc.date.created2015-09-16T20:00:54Z
dc.date.issued2015
dc.identifier.citationWang, S. and Yang, X. 2015. A power penalty method for a bounded nonlinear complementarity problem. Optimization. 64 (11): pp. 2377-2394.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/22762
dc.identifier.doi10.1080/02331934.2014.967236
dc.description.abstract

We propose a novel power penalty approach to the bounded nonlinear complementarity problem (NCP) in which a reformulated NCP is approximated by a nonlinear equation containing a power penalty term. We show that the solution to the nonlinear equation converges to that of the bounded NCP at an exponential rate when the function is continuous and ξ-monotone. A higher convergence rate is also obtained when the function becomes Lipschitz continuous and strongly monotone. Numerical results on discretized ‘double obstacle’ problems are presented to confirm the theoretical results.

dc.publisherTaylor & Francis Ltd.
dc.subjectpower penalty methods
dc.subjectξ-monotone - functions
dc.subjectconvergence rates
dc.subjectnonlinear variational inequality problems
dc.subjectbounded nonlinear complementarity problems
dc.titleA power penalty method for a bounded nonlinear complementarity problem
dc.typeJournal Article
dcterms.source.volume64
dcterms.source.number11
dcterms.source.startPage2377
dcterms.source.endPage2394
dcterms.source.issn0233-1934
dcterms.source.titleOptimization
curtin.note

The Version of Record of this manuscript has been published and is available in Optimization (2015), http://www.tandfonline.com/10.1080/02331934.2014.967236

curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusOpen access


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