Generalized Variational Inequalities and Wiener-Hopf Equations in Hilbert Spaces  

作　　者：SHANG Mei-juan WANG Zhi-guo 

机构地区：[1]Department of Applied Mathematics, Beijing Jiaotong University, Beijing 100044, China Department of Mathematics and Information Science, Shijiazhuang University, Shijiazhuang 050035, China [2]College of Mathematics and Information Science, Henan University, Kaifenq 475001, China

出　　处：《Chinese Quarterly Journal of Mathematics》2011年第2期164-169,共6页数学季刊（英文版）

基　　金：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 

分 类 号：O177.91[理学—数学]