Banach空间解一类(A,η)-增生映象包含组的两步迭代算法(英文)  

Two-Step Iterative Algorithm for Solving a System of (A,η)-Accretive Mapping Inclusions in Banach Spaces

作　　者：金茂明[1] 朱雅帅[1] 

机构地区：[1]长江师范学院数学系,重庆涪陵400803

出　　处：《西南大学学报（自然科学版）》2008年第12期18-22,共5页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10471151);重庆市教委科技资助项目(KJ071305)

摘　　要：在Banach空间中引入和研究了一类含(A,η)增生映象的变分包含,利用(A,η)增生映象的预解算子技巧,证明了这类(A,η)增生映象包含组解的存在性和唯一性.并对这类(A,η)增生映象包含组的逼近解构造了一种新的具误差的两步迭代算法,还讨论了由算法生成的迭代序列的收敛性.In this paper, we introduce and study a new system of （A, η）-accretive mapping inclusions in Banach spaces. Using the resolvent operator associated with （A, η） -accretive mappings, we prove the existence and uniqueness of the solutions, construct a new two-step iterative algorithm with errors for solving this system of （A, η） -accretive mapping inclusions, and discuss the convergence of iterative sequence generated by the algorithm.

关 键 词：具误差的两步迭代算法 (A η)-增生映象变分包含组 预解算子 存在性 收敛性 

分 类 号：O177.91[理学—数学]