Common Couple Fixed Point Theorem for Multivariate Mappings

Journal of Chongqing Jiaotong University(Natural Science) ›› 2007, Vol. 26 ›› Issue (1): 164-166.

Common Couple Fixed Point Theorem for Multivariate Mappings

LIAO Zheng-qi ¹，HE Qing-bi²

1.School of Science and Engineering，Chongqing Jiaotong University，Chongqing 400074，China； 2.School of Computer and Information，Chongqing Jiaotong University，Chongqing 4000074，China

Received:2006-02-24 Revised:2006-03-09 Online:2007-02-15 Published:2015-01-22

多元映象组的公共耦合不动点

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，重庆垫江人，副教授，主要从事泛函分析科研工作.E-mail:hgb60758084@163.com

Abstract

Abstract: A group of binary mappings is studied and the existence，iterative sequence and estimation form ula of rate of con— vergence for common couple fixed point of multivariate mappings are obtained in complete metric space．

Key words: complete metric space, common couple fixed point, coupled fixed point

摘要： 研究了一类二元映象组，并得到了这类映象组的公共耦合不动点存在性、迭代式及其收敛速率估计公式

关键词: 完备度量空间, 公共耦合不动点, 耦合不动点

CLC Number:

O177

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.

廖正琦，贺清碧. 多元映象组的公共耦合不动点[J]. 重庆交通大学学报（自然科学版）, 2007, 26(1): 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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[6]	， XIONG Qin-yu3， FENG Yun-yi. The existenceand approximations theorem for approximations couple fixed point of semi compact nonexpansive mappings [J]. Journal of Chongqing Jiaotong University(Natural Science), 2005, 24(1): 146-148.