| Banach空间中伪单调变分不等式的严格可行性 |
| |
| 引用本文： | 张永乐,何诣然.Banach空间中伪单调变分不等式的严格可行性[J].四川师范大学学报(自然科学版),2009,32(4). |
| |
| 作者姓名： | 张永乐 何诣然 |
| |
| 作者单位： | 四川师范大学,数学与软件科学学院,四川,成都,610066 |
| |
| 基金项目： | 国家自然科学基金，四川省青年科学基金 |
| |
| 摘 要： | 证明了在无限维的Banach空间中,当假设映射是紧场和伪单调时,变分不等式的解集非空有界等价于它的严格可行性,将文献(Facchinei F, Pang J S. Finite-dimensional Variational Inequalities and Complementarity ProblemsM]. New York:Springer-Verlag,2003.)中定理2.4.4从有限维欧氏空间推广到了无限维的Banach空间.
|
| 关 键 词： | 广义投影映射 变分不等式 拓扑度 紧场 伪单调映射 |
Strict Feasibility of Pseudo-monotone Variational Inequality in Banach Spaces |
| |
| ZHANG Yong-le,HE Yi-ran.Strict Feasibility of Pseudo-monotone Variational Inequality in Banach Spaces[J].Journal of Sichuan Normal University(Natural Science),2009,32(4). |
| |
| Authors: | ZHANG Yong-le HE Yi-ran |
| |
| Institution: | College of Mathematics and Software Science;Sichuan Normal University;Chengdu 610066;Sichuan |
| |
| Abstract: | In this paper,it is proved that,in Bananch spaces of possibly infinite dimentions,the solution set of variational inequality problem VIP(K,F) being nonempty and bounded is equivalent to its strict feasibility,provided the mapping F is compact field and pseudo-monotone in the sense of Karamardian.This generalizes some known results from finite dimensional spaces to infinite dimensional spaces. |
| |
| Keywords: | Generalized projection operator Variational inequality Topological degree Compact field Pseudo-monotone mapping |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
