Quasi-P-*-maps, P(tau,alpha,beta)-maps, exceptional family of elements, and complementarity problems
文献类型：期刊论文
| 作者 | Zhao, YB; Isac, G |
| 刊名 | JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
 |
| 出版日期 | 2000-04-01 |
| 卷号 | 105期号:1页码:213-231 |
| 关键词 | nonlinear complementarity problems exceptional family of elements quasi-P-*-maps P(tau, alpha, beta)-maps exceptional regularity |
| ISSN号 | 0022-3239 |
| 英文摘要 | Quasi-P*-maps and P(tau, alpha, beta)-maps defined in this paper are two large classes of nonlinear mappings which are broad enough to include P*-maps as special cases. It is of interest that the class of quasi-P*-maps also encompasses quasimonotone maps (in particular, pseudomonotone maps) as special cases. Under a strict feasibility condition, it is shown that the nonlinear complementarity problem has a solution if the function is a nonlinear quasi-P*-map or P(tau, alpha, beta)-map. This result generalizes a classical Karamardian existence theorem and a recent result concerning quasimonotone maps established by Hadjisawas and Schaible, but restricted to complementarity problems. A new existence result under an exceptional regularity condition is also established. Our method is based on the concept of exceptional family of elements for a continuous function, which is a powerful tool for investigating the solvability of complementarity problems. |
| WOS研究方向 | Operations Research & Management Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000087264100011 |
| 出版者 | KLUWER ACADEMIC/PLENUM PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15760]  |
| 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, Peoples R China 2.Royal Mil Coll Canada, Dept Math & Comp Sci, Kingston, ON K7K 5L0, Canada |
| 推荐引用方式 GB/T 7714 | Zhao, YB,Isac, G. Quasi-P-*-maps, P(tau,alpha,beta)-maps, exceptional family of elements, and complementarity problems[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2000,105(1):213-231. |
| APA | Zhao, YB,&Isac, G.(2000).Quasi-P-*-maps, P(tau,alpha,beta)-maps, exceptional family of elements, and complementarity problems.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,105(1),213-231. |
| MLA | Zhao, YB,et al."Quasi-P-*-maps, P(tau,alpha,beta)-maps, exceptional family of elements, and complementarity problems".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 105.1(2000):213-231. |
入库方式： OAI收割
来源：数学与系统科学研究院
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