Coupled Fixed Points For Asymptotically Nonexpansive Mappings of
Set-valued and Convergence of lterative Sequence

Journal of Chongqing Jiaotong University(Natural Science) ›› 2007, Vol. 26 ›› Issue (4): 166-168.

Coupled Fixed Points For Asymptotically Nonexpansive Mappings of Set-valued and Convergence of lterative Sequence

LIAO Zheng-qi

School of Science，Chongqing Jiaotong University，Chongqing400074，China

Received:2006-02-14 Revised:2006-03-09 Online:2007-08-15 Published:2015-05-18

集值渐近非扩张映象耦合不动点及其迭代列的收敛性

廖正琦

重庆交通大学理学院，重庆 400074

作者简介:廖正琦(1957一)，男，重庆垫江人，副教授，主要从事泛函分析科研工作.E—mail：cqjdezq@163.com.

Abstract

Abstract: By using point valued method for set-valued mappings in Hilbert space，coupled fixed points theorem for asymptotically nonexpansive mappings of semi-compact and noncontinous binary set-valued and convergence of iterative sequence are obtained．

Key words: asymptotically nonexpansive mappings of set-valued, coupled fixed point, Ishikawa iterative sequence

摘要： 在Hilbert空间中利用集值映象点值化方法，得到了一类非连续二元集值渐近非扩张映象的耦合不动点集定理和迭代列的收敛性．

关键词: 集值渐近非扩张映象, 耦合不动点, Ishikawa迭代

CLC Number:

O177

LIAO Zheng-qi. Coupled Fixed Points For Asymptotically Nonexpansive Mappings of Set-valued and Convergence of lterative Sequence[J]. Journal of Chongqing Jiaotong University(Natural Science), 2007, 26(4): 166-168.

廖正琦. 集值渐近非扩张映象耦合不动点及其迭代列的收敛性[J]. 重庆交通大学学报（自然科学版）, 2007, 26(4): 166-168.

[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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