Banach空间中一类g-η-增生映象包含组的Ishikawa迭代算法(英文)  

Ishikawa Iterative Algorithm for a System of g-η-Accretive Mapping Inclusions in Banach Spaces

作　　者：杨永琴[1,2] 李建平[1] 张弘[2] 

机构地区：[1]后勤工程学院,重庆400016 [2]重庆交通大学理学院,重庆400074

出　　处：《南京师大学报（自然科学版）》2009年第2期1-5,共5页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：Supported by the National Natural Science Foundation of China(10471151);Chongqing Natural Science Foundation(CSTC 2007BB2427)

摘　　要：在Banach空间中引入和研究了一类含g-η-增生映象的变分包含,利用与g-η-增生映象相联系的预解算子技巧,证明了这类g-η-增生映象包含解的存在性和惟一性.对这类g-η-增生映象包含的逼近解我们也构造了一个新的Ish ikawa迭代算法,并讨论了由此算法生成的迭代序列的收敛性.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 lshikawa 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 

分 类 号：O177.91[理学—数学]