Hilbert空间中广义变分不等式和Wiener-Hopf方程

数学季刊 ›› 2011, Vol. 26 ›› Issue (2): 164-169.

Hilbert空间中广义变分不等式和Wiener-Hopf方程

1. Department of Applied Mathematics, Beijing Jiaotong University2. Department of Mathematics and Information Science, Shijiazhuang University3. College of Mathematics and Information Science, Henan University

收稿日期:2007-12-10 出版日期:2011-06-30 发布日期:2023-04-26
作者简介:SHANG Mei-juan(1979-), female, native of Shijiazhuang, Hebei, a lecturer of Shijiazhuang University, engages in nonlinear analysis and optimization theory.
基金资助:
Supported by the Natural Science Foundation of Hebei Province(A2010001943)； Supported by the Science Grant of Beijing Jiaotong University(2011YJS075)；

Generalized Variational Inequalities and Wiener-Hopf Equations in Hilbert Spaces

1. Department of Applied Mathematics, Beijing Jiaotong University2. Department of Mathematics and Information Science, Shijiazhuang University3. College of Mathematics and Information Science, Henan University

Received:2007-12-10 Online:2011-06-30 Published:2023-04-26
About author:SHANG Mei-juan(1979-), female, native of Shijiazhuang, Hebei, a lecturer of Shijiazhuang University, engages in nonlinear analysis and optimization theory.
Supported by:
Supported by the Natural Science Foundation of Hebei Province(A2010001943)； Supported by the Science Grant of Beijing Jiaotong University(2011YJS075)；

摘要/Abstract

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

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.

Key words: variational inequality, Hilbert space, relaxed (γ, r)-cocoercive mapping

中图分类号:

O177.1

商美娟, 王治国. Hilbert空间中广义变分不等式和Wiener-Hopf方程[J]. 数学季刊, 2011, 26(2): 164-169.

SHANG Mei-juan, WANG Zhi-guo. Generalized Variational Inequalities and Wiener-Hopf Equations in Hilbert Spaces[J]. Chinese Quarterly Journal of Mathematics, 2011, 26(2): 164-169.

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