Convergence of Multistep Iterative Sequence for Asymptotically
Quasi-nonexpansive Mappings of Set-value

Journal of Chongqing Jiaotong University(Natural Science) ›› 2007, Vol. 26 ›› Issue (2): 164-166.

Convergence of Multistep Iterative Sequence for Asymptotically Quasi-nonexpansive Mappings of Set-value

LIAO Zheng-qi ¹;HE Qing-bi²

1.School of Science，Chongqing Jiaotong University，Chongqing 400074，China； 2.Schol of Computer and Information，Chongqing Jtaotong University，Chingqing 400074，China

Received:2006-02-21 Revised:2006-03-09 Online:2007-04-15 Published:2015-01-22

集值渐近准非扩张映象多步迭代的收敛性

廖正琦¹，贺清碧²

1.重庆交通大学理学院，重庆 400074；2.重庆交通大学计算机与信息学院，重庆 400074

作者简介:廖正琦(1957—），男，重庆市垫江人，副教授，主要从事泛函分析科研工作.E-mail:hqb60758084@163.com

Abstract

Abstract: By using point valued for set-valued mappings in strictly convex Banach space，a suficient and necessary condition for Ishikawa muhistep iterative processing with errors for asymptotically quasi-nonexpansive mappings of set-valued to converge to coupled fixed point is proved.

Key words: asym ptotically quasl-nonexpansive mappings of set—valued , strictly convex Ban ach space, muhistep iterafive processes with errors, coupled fixed point

摘要： 在严格凸Banach空间中，用集值映象点值化方法，证明了集值渐近准非扩张映象带误差的三步迭代列收敛于耦合不动点的充要条件.

关键词: 集值渐近准非扩张映象, 严格凸Banach空间, 带误差的三步迭代列, 耦合不动点

CLC Number:

O177

LIAO Zheng-qi;HE Qing-bi. Convergence of Multistep Iterative Sequence for Asymptotically Quasi-nonexpansive Mappings of Set-value[J]. Journal of Chongqing Jiaotong University(Natural Science), 2007, 26(2): 164-166.

廖正琦，贺清碧. 集值渐近准非扩张映象多步迭代的收敛性[J]. 重庆交通大学学报（自然科学版）, 2007, 26(2): 164-166.

[1]	LIAO Zheng-qi. Coupled Fixed Point Theorem for Mean Set-Valued Non-expansive Mappings [J]. Journal of Chongqing Jiaotong University(Natural Science), 2010, 29(2): 326-328.
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