φ-半伪压缩算子对的Ishikawa型迭代程序的收敛性和稳定性

数学物理学报 ›› 2017, Vol. 37 ›› Issue (2): 248-256.

φ-半伪压缩算子对的Ishikawa型迭代程序的收敛性和稳定性

王学武

山东工商学院数学与信息科学学院山东烟台 264005

收稿日期:2016-07-12 修回日期:2016-12-25 出版日期:2017-04-26 发布日期:2017-04-26
作者简介:王学武,wangxuewuxx@163.com
基金资助:
山东省自然科学基金（ZR2013AL015）

Convergence and Stability of Ishikawa Type Iterative Sequences for the φ-Hemi Pseudocontractive Operator Pair

Wang Xuewu

School of Mathematics and Information Science, Shandong Institute of Business and Technology, Shandong Yantai 264005

Received:2016-07-12 Revised:2016-12-25 Online:2017-04-26 Published:2017-04-26
Supported by:
Supported by the Natural Science Foundation of Shandong Province (ZR2013AL015)

摘要/Abstract

摘要： 该文引入算子对的稳定性概念，在φ（x）/x非减的条件下，利用与以往文献不同的方法，研究了φ-半伪压缩算子对的Ishikawa型迭代序列的收敛性和稳定性.这些结果推广，改进和完善了迭代逼近理论的相关结果.

关键词: φ-半伪压缩算子, Ishikawa型迭代序列, 收敛性, 稳定性, 不动点

Abstract: In this paper, the stability conceptions for operator pair is introduced. Under the condition that φ(x)/x is nondecreasing, using the different method, we study the convergence and stability of Ishikawa type iterative sequences for the φ-hemi pseudocontrative operator pair. This results presented in this paper extend, improve and perfect the well-known corresponding results in iterative approximation theory.

Key words: φ-Hemi pseudocontrative operator, Ishikawa type iterative sequence, Convergence, Stability, Fixed point

中图分类号:

O177.91

王学武. φ-半伪压缩算子对的Ishikawa型迭代程序的收敛性和稳定性[J]. 数学物理学报, 2017, 37(2): 248-256.

Wang Xuewu. Convergence and Stability of Ishikawa Type Iterative Sequences for the φ-Hemi Pseudocontractive Operator Pair[J]. Acta mathematica scientia,Series A, 2017, 37(2): 248-256.

参考文献

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