An alternative theorem for generalized variational inequalities and solvability of nonlinear quasi-P-*(M)-complementarity problems
文献类型：期刊论文
| 作者 | Zhao, YB; Yuan, JY |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2000-03-15 |
| 卷号 | 109期号:2-3页码:167-182 |
| 关键词 | (generalized) variational inequality complementarity problem exceptional family for variational inequality quasi-P-*(M)-maps |
| ISSN号 | 0096-3003 |
| 英文摘要 | In this paper, an alternative theorem, and hence a sufficient solution condition, is established for generalized variational inequality problems, The concept of exceptional family for generalized variational inequality is introduced. This concept is general enough to include as special cases the notions of exceptional family of elements and the D-orientation sequence for continuous functions. Particularly, we apply the alternative theorem for investigating the solvability of the nonlinear complementarity problems with so-called quasi-P-*(M)-maps, which are broad enough to encompass the quasimonotone maps and P-*-maps as the special cases. An existence theorem for this class of complementarity problems is established, which significantly generalizes several previous existence results in the literature. (C) 2000 Elsevier Science Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000085105100005 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15156]  |
| 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.Univ Fed Parana, Ctr Politecn, Dept Matemat, BR-81531990 Curitiba, Parana, Brazil |
| 推荐引用方式 GB/T 7714 | Zhao, YB,Yuan, JY. An alternative theorem for generalized variational inequalities and solvability of nonlinear quasi-P-*(M)-complementarity problems[J]. APPLIED MATHEMATICS AND COMPUTATION,2000,109(2-3):167-182. |
| APA | Zhao, YB,&Yuan, JY.(2000).An alternative theorem for generalized variational inequalities and solvability of nonlinear quasi-P-*(M)-complementarity problems.APPLIED MATHEMATICS AND COMPUTATION,109(2-3),167-182. |
| MLA | Zhao, YB,et al."An alternative theorem for generalized variational inequalities and solvability of nonlinear quasi-P-*(M)-complementarity problems".APPLIED MATHEMATICS AND COMPUTATION 109.2-3(2000):167-182. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。