A New System of Generalized Nonlinear Set-Valued Variational Inclusions

摘要：

In this paper, a new system of generalized nonlinear set-valued variational inclusions in Banach spaces is introduced and studied. By using the resolvent operator technique for H-accretive mapping due to Fang and Huang, we construct some new iterative algorithms for approximating the solutions of the system of generalized nonlinear set-valued variational inclusions and prove the existence of the solutions for the system of generalized nonlinear set-valued variational inclusions and convergence of iterative sequences generated by the algorithm.These theorems improve, unify and generalize many known results variational inequalities and variational inclusions.

关键词： H-accretive mapping system of generalized nonlinear set-valued variational inclusions Mann iterativealgorithm existence and convergence

作者: Mao-Ming Jin Yong-Qin Yang Jian-Ping Li

会议类型: 国际会议

会议名称: The International Conference Information Computing and Automation(2007国际信息计算与自动化会议)

会议地点: 成都

会议语种:英文

页码: 408-411

在线出版日期: 2007-12-19（万方平台首次上网日期，不代表论文的发表时间）