Coupled Fixed Point Theorem for Mean Set-Valued Non-expansive Mappings

Journal of Chongqing Jiaotong University(Natural Science) ›› 2010, Vol. 29 ›› Issue (2): 326-328.

Coupled Fixed Point Theorem for Mean Set-Valued Non-expansive Mappings

LIAO Zheng-qi

School of Science，Chongqing Jiaotong University，Chongqing 400074，China

Received:2009-08-31 Revised:2010-01-11 Online:2010-04-15 Published:2015-01-22

平均集值非扩张映象的耦合不动点定理

廖正琦

重庆交通大学理学院，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:cqjdlzq@163.com。
基金资助:
重庆市科委项目(CSTC，2007BB2427);重庆市教育科学“十一五”规划高校重点课题(2006-GJ-142)

Abstract

Abstract: By using point valued method for set-valued mappings in strict convex Banach space，we have proved existence and uniqueness of coupled fixed point for mean set-valued non-expansive mappings，and obtained convergence of Mann iterative sequence.

Key words: mean set-valued non-expansive mappings, coupled fixed point, Mann iterative sequence

摘要： 在严格凸Banach空间中，将集值映象点值化，证明平均集值非扩张映象的耦合不动点的存在性与唯一性，得到了一种Mann迭代的收敛性。

关键词: 平均集值非扩张映象, 耦合不动点, Mann迭代

CLC Number:

O177

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.

廖正琦. 平均集值非扩张映象的耦合不动点定理[J]. 重庆交通大学学报（自然科学版）, 2010, 29(2): 326-328.

[1]	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.
[2]	LIAO Zheng-qi. Ishikawa Iteration of Coupled Fixed Points for Nonexpansive Mapping and Element of the Best Approximation [J]. Journal of Chongqing Jiaotong University(Natural Science), 2007, 26(3): 163-165.
[3]	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.
[4]	LIAO Zheng-qi ，HE Qing-bi. Common Couple Fixed Point Theorem for Multivariate Mappings [J]. Journal of Chongqing Jiaotong University(Natural Science), 2007, 26(1): 164-166.
[5]	LIAO Zheng-qi. Approximations couple fixed point and couple fixed point theorems for nonexpansive mappings [J]. Journal of Chongqing Jiaotong University(Natural Science), 2005, 24(2): 153-154.