New iterative approximation for a system of generalized nonlinear variational inclusions with set-valued mappings in Banach spaces

被引：0
作者：
Lan, HY [1 ]
Huang, NJ
Cho, YJ
机构：
[1] Sichuan Univ Sci & Engn, Dept Math, Zigong 643000, Sichuan, Peoples R China
[2] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
[3] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
[4] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2006年 / 9卷 / 01期
关键词：
generalized m-accretive mappings; a system of generalized nonlinear variational inclusions; Mann iteration with mixed errors; q-uniformly smooth Banach space; existence and convergence;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce and study a new system of generalized nonlinear variational inclusions involving generalized m-accretive mappings. By using the resolvent operator technique for generalized m-accretive mapping due to Huang and Fang [10], we also prove the existence theorems of the solution and convergence theorems of the generalized Mann iterative procedures with mixed errors for this system of variational inclusions in q-uniformly smooth Banach spaces.
引用
收藏
页码：175 / 187
页数：13
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