Properties of a multivalued mapping associated with some nonmonotone complementarity problems
文献类型：期刊论文
| 作者 | Zhao, YB; Isac, G |
| 刊名 | SIAM JOURNAL ON CONTROL AND OPTIMIZATION
 |
| 出版日期 | 2000-09-27 |
| 卷号 | 39期号:2页码:571-593 |
| 关键词 | nonlinear complementarity problems central path interior-point-epsilon-exceptional family weakly univalent maps generalized monotonicity |
| ISSN号 | 0363-0129 |
| 英文摘要 | Using the homotopy invariance property of the degree and a newly introduced concept of the interior-point-epsilon-exceptional family for continuous functions, we prove an alternative theorem concerning the existence of a certain interior-point of a continuous complementarity problem. Based on this result, we develop several sufficient conditions to assure some desirable properties (nonemptyness, boundedness, and upper-semicontinuity) of a multivalued mapping associated with continuous (nonmonotone) complementarity problems corresponding to semimonotone, P(tau, alpha, beta) -, quasi- P*-, and exceptionally regular maps. The results proved in this paper generalize well-known results on the existence of central paths in continuous P-0 complementarity problems. |
| WOS研究方向 | Automation & Control Systems ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000089648700011 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15120]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhao, YB |
| 作者单位 | 1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Royal Mil Coll Canada, Dept Math & Comp Sci, Kingston, ON K7K 7B4, Canada |
| 推荐引用方式 GB/T 7714 | Zhao, YB,Isac, G. Properties of a multivalued mapping associated with some nonmonotone complementarity problems[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,2000,39(2):571-593. |
| APA | Zhao, YB,&Isac, G.(2000).Properties of a multivalued mapping associated with some nonmonotone complementarity problems.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,39(2),571-593. |
| MLA | Zhao, YB,et al."Properties of a multivalued mapping associated with some nonmonotone complementarity problems".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 39.2(2000):571-593. |
入库方式： OAI收割
来源：数学与系统科学研究院
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