南京师大学报（自然科学版）2009，Vol.32Issue(2)：1-5,5.
Banach空间中一类g-η-增生映象包含组的Ishikawa迭代算法
Ishikawa Iterative Algorithm for a System of g-η-Accretive Mapping Inclusions in Banach Spaces
摘要
Abstract
In this paper, we introduce and study a new system of g-η-accretive mapping inclusions in Banach spaces. Using the resolvent operator technique for g-η-accretive mappings, we prove the existence and uniqueness of the solutions for this system of g-η-accretive mapping inclusions. We also construct a new Ishikawa iterative algorithm for solving this system of g-η-accretive mapping inclusions and discuss the convergence of iterative sequence generated by the algorithm.关键词
Ishikawa迭代算法/g-η-增生映象包含组/松驰余制映象/预解算子技巧/存在性/收敛性Key words
Ishikawa iterative algorithm, system of g-η-accretive mapping inclusions, ralaxed cocoercive mapping, resolvent operator technique, existence, convergence分类
数理科学引用本文复制引用
杨永琴,李建平,张弘..Banach空间中一类g-η-增生映象包含组的Ishikawa迭代算法[J].南京师大学报（自然科学版）,2009,32(2):1-5,5.基金项目
Supported by the National Natural Science Foundation of China (10471151)and Chongqing Natural Science Foundation(CSTC 2007BB2427). （10471151）
