有限族严格伪压缩映象具误差的一类新的合成隐迭代程序

有限族严格伪压缩映象具误差的一类新的合成隐迭代程序

饶若峰, 王雄瑞

宜宾学院数学系, 四川宜宾 644007

收稿日期:2007-12-09 修回日期:1900-01-01 出版日期:2008-09-26 发布日期:2008-09-26
通讯作者: 饶若峰

A Class of New Composite Implicit Iteration Process for Common Fixed Points of a Finite Family of Strictly Pseudocontractive Maps

RAO Ruofeng, WANG Xiongrui

Department of Mathematics, Yibin College, Yibin 644007, Sichuan Province, China

Received:2007-12-09 Revised:1900-01-01 Online:2008-09-26 Published:2008-09-26
Contact: RAO Ruofeng

摘要/Abstract

摘要： 参照强伪压缩映象不动点定理引进了涉及有限族严格伪压缩映象的带误差的合成隐迭代式. 在实Banach空间框架下, 利用Petryshyn不等式引理证明了该迭代序列强收敛于此严格伪压缩映象族的一个公共不动点.

关键词: 合成隐迭代序列, 严格伪压缩映象, 公共不动点

Abstract: In view of the existence theory for fixed point of a continuous pseudocontractive mapping, a new composite implicit iterative process with errors for a finite family of strictly pseudocontractive mappings is introduced reasonably in a real smooth Banach space. We have proved by means of the Petryshyn’s inequality that the iterative process converges strongly to a fixed point of the family of strictly pseudocontractive mappings under some suitable conditions.

Key words: composite implicit iterative process, strictly pseudo contractive mappings, common fixed point

中图分类号:

O177.91

饶若峰, 王雄瑞. 有限族严格伪压缩映象具误差的一类新的合成隐迭代程序[J]. J4, 2008, 46(05): 865-869.

RAO Ruofeng, WANG Xiongrui. A Class of New Composite Implicit Iteration Process for Common Fixed Points of a Finite Family of Strictly Pseudocontractive Maps[J]. J4, 2008, 46(05): 865-869.

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[2]	石仁淑, 朴勇杰. 复值度量空间上具有A-隐式收缩的映射族的不动点与公共不动点[J]. 吉林大学学报(理学版), 2016, 54(04): 743-747.
[3]	徐天华. q-一致光滑Banach空间中严格伪压缩映象的黏性逼近[J]. J4, 2010, 48(1): 39-44.