关于包含有限个强伪压缩映射的凸可行性问题解的迭代逼近  

Approximating Solutions of Convex Feasibility Problems Involving a Finite Family of Strongly Pseudocontractive Mappings

作　　者：唐玉超[1,2] 刘理蔚[1] 

机构地区：[1]南昌大学数学系,南昌330031 [2]西安交通大学数学系,西安710049

出　　处：《应用泛函分析学报》2012年第3期251-257,共7页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(11131006;60970149;11101204;11102078);江西省自然科学基金(2009GZS0021;CA201107114);江西省教育厅基金(GJJ12141)

摘　　要：在Banach空间中,证明了多步迭代序列强收敛于有限个强伪压缩映射的公共不动点.同时,给出了有限个(强)增生算子方程公共解的强收敛定理.所得结果推广和改进了许多重要结果.The purpose of this paper is to study a strong convergence of multistep iterative sequence to a common fixed point for a finite family of strongly pseudocontractive mappings in Banach space. As a consequence, the strong convergence theorems for the multistep iterative scheme to a common solution for a finite family of （strongly） accretive operators are also obtained. Our results improve and extend many well known results appeared in the literatures.

关 键 词：多步迭代序列 公共不动点 强伪压缩映射 增生算子 

分 类 号：O177.91[理学—数学]