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 Properties of a homotopy solution path for complementarity problems with quasi-monotone mappings Zhao, YB; Li, GN 2004-01-20 Source Publication APPLIED MATHEMATICS AND COMPUTATION ISSN 0096-3003 Volume 148Issue:1Pages:93-104 Abstract We study several properties of a homotopy solution path associated with continuous nonlinear quasi-monotone complententarity problems. We use Poincare-Bohn's homotopy invariance theorem of degree to derive an alternative theorem. Based on this result, a sufficient condition is established to assure the existence and boundedness of this homotopy solution path. Our results provide a theoretical, basis to develop a new computational method for quasi-monotone complementarity problems. (C) 2002 Elsevier Inc. All rights reserved. Keyword complementarity problems homotopy solution paths mu-exceptional family quasimonotone mappings DOI 10.1016/S0096-3003(02)00830-5 Language 英语 WOS Research Area Mathematics WOS Subject Mathematics, Applied WOS ID WOS:000186439500007 Publisher ELSEVIER SCIENCE INC Citation statistics Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS] Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/19502 Collection 中国科学院数学与系统科学研究院 Affiliation 1.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100080, Peoples R China2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, AMSS, Beijing 100080, Peoples R China Recommended CitationGB/T 7714 Zhao, YB,Li, GN. Properties of a homotopy solution path for complementarity problems with quasi-monotone mappings[J]. APPLIED MATHEMATICS AND COMPUTATION,2004,148(1):93-104. APA Zhao, YB,&Li, GN.(2004).Properties of a homotopy solution path for complementarity problems with quasi-monotone mappings.APPLIED MATHEMATICS AND COMPUTATION,148(1),93-104. MLA Zhao, YB,et al."Properties of a homotopy solution path for complementarity problems with quasi-monotone mappings".APPLIED MATHEMATICS AND COMPUTATION 148.1(2004):93-104.
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