Iterative Methods for Solving a System of Variational Inclusions Involving （H, η）-Monotone Operators in Banach Spaces  

作　　者：LOU Jian HE Xin Feng HE Zhen 

机构地区：[1]Computer Center, Hebei University, Hebei 071002, China [2]College of Mathematics and Computers, Hebei University, Hebei 071002, China

出　　处：《Journal of Mathematical Research and Exposition》2009年第1期33-42,共10页数学研究与评论（英文版）

基　　金：Foundation item： the Key Project of Chinese Ministry of Education （No. 207104）; the Natural Science Foundation of Hebei Province （No. A2006000941）.

摘　　要：In this paper, we introduce and study a new system of variational inclusions involving （H, η）-monotone operators in Banach space. Using the resolveut operator associated with （H, η）- monotone operators, we prove the existence and uniqueness of solutions for this new system of variational inclusions. We also construct a new algorithm for approximating the solution of this system and discuss the convergence of the iterative sequence generated by the algorithm.In this paper, we introduce and study a new system of variational inclusions involving （H, η）-monotone operators in Banach space. Using the resolveut operator associated with （H, η）- monotone operators, we prove the existence and uniqueness of solutions for this new system of variational inclusions. We also construct a new algorithm for approximating the solution of this system and discuss the convergence of the iterative sequence generated by the algorithm.

关 键 词：Keywords q-uniformly smooth space （H  η）-monotone operator Resolvent operator technique system of variational inclusion iterative algorithm. 

分 类 号：O177.91[理学—数学]