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| Hilbert空间中广义变分不等式和Wiener-Hopf方程(英文) | |
| 引用本文： | 商美娟,王治国. Hilbert空间中广义变分不等式和Wiener-Hopf方程(英文)[J]. 数学季刊, 2011, 0(2): 164-169 |
| 作者姓名： | 商美娟 王治国 |
| 作者单位： | Department of Applied Mathematics;Beijing Jiaotong University;Department of Mathematics and Information Science;Shijiazhuang University;College of Mathematics and Information Science;Henan University; |
| 基金项目： | Supported by the Natural Science Foundation of Hebei Province(A2010001943); Supported by the Science Grant of Beijing Jiaotong University(2011YJS075) |
| 摘 要： | In this paper,we consider the solvability of generalized variational inequalities involving multi-valued relaxed monotone operators in the framework of Hilbert spaces.Our results mainly improve the corresponding results announced by Verma[R U Verma,Generalized variational inequalities involving multivalued relaxed monotone operators,Appl Math Lett,1997,10：107-109]and many others. |
| 关 键 词： | variational inequality Hilbert space relaxed（γ r）-cocoercive mapping |
Generalized Variational Inequalities and Wiener-Hopf Equations in Hilbert Spaces |
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| SHANG Mei-juan,WANG Zhi-guo. Generalized Variational Inequalities and Wiener-Hopf Equations in Hilbert Spaces[J]. Chinese Quarterly Journal of Mathematics, 2011, 0(2): 164-169 | |
| Authors: | SHANG Mei-juan WANG Zhi-guo |
| Affiliation: | SHANG Mei-juan1,WANG Zhi-guo2(1.Department of Applied Mathematics,Beijing Jiaotong University,Beijing 100044,China,Department of Mathematics and Information Science,Shijiazhuang University,Shijiazhuang 050035,2.College of Mathematics and Information Science,Henan University,Kaifeng 475001,China) |
| Abstract: | In this paper,we consider the solvability of generalized variational inequalities involving multi-valued relaxed monotone operators in the framework of Hilbert spaces.Our results mainly improve the corresponding results announced by Verma[R U Verma,Generalized variational inequalities involving multivalued relaxed monotone operators,Appl Math Lett,1997,10:107-109]and many others. |
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