Common Fixed Points for a Countable Family of Non-self Mappings in Cone Metric Spaces with the Convex Property

PIAO Yong-jie, LI Chun-hua

doi:10.13371/j.cnki.chin.q.j.m.2014.02.010

Chinese Quarterly Journal of Mathematics >

2014 , Vol. 29 >Issue 2: 221 - 230

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.02.010

Common Fixed Points for a Countable Family of Non-self Mappings in Cone Metric Spaces with the Convex Property

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College of Science, Yanbian University

PIAO Yong-jie(1962-), male(Chaoxianzu), native of Jiutai, Jilin, a professor of Yanbian University, Ph.D., engages in nonlinear theory and space theory; LI Chun-hua(1975-), female(Chaoxianzu), native of Baishan, Jilin, a lecturer of Yanbian University, Ph.D., engages in functional analysis and space theory.

Received date: 2012-07-19

Online published: 2021-01-25

Supported by

Supported by the National Natural Science Foundation of China（11361064）；

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Abstract

A new common fixed point result for a countable family of non-self mappings defined on a closed subset of a cone metric space with the convex property is obtained, and from which, a more general result is given. Our main results improve and generalize many known common fixed point theorems.

Key words： common fixed point; the convex property; cone metric space

Cite this article

PIAO Yong-jie, LI Chun-hua . Common Fixed Points for a Countable Family of Non-self Mappings in Cone Metric Spaces with the Convex Property[J]. Chinese Quarterly Journal of Mathematics, 2014 , 29(2) : 221 -230 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.02.010

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