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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
【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.
【Abstract】 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;
【Key words】 multistep iterative sequence; common fixed point; strongly pseudocontractive mapping; accretive operator;
【Key words】 multistep iterative sequence; common fixed point; strongly pseudocontractive mapping; accretive operator;
【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)
- 【文献出处】 应用泛函分析学报 ,Acta Analysis Functionalis Applicata , 编辑部邮箱 ,2012年03期
- 【分类号】O177.91
- 【下载频次】30