Some Random Coincidence Point and Common Fixed Point Results in Cone Metric Space Over Banach Algebras

JIANG Bing-hua, CAI Ze-lin, CHEN Jin-yang

doi:10.13371/j.cnki.chin.q.j.m.2019.04.004

Chinese Quarterly Journal of Mathematics >

2019 , Vol. 34 >Issue 4: 362 - 381

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2019.04.004

Some Random Coincidence Point and Common Fixed Point Results in Cone Metric Space Over Banach Algebras

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School of Mathematics and Statistics, Hubei Normal University

Received date: 2017-09-02

Online published: 2020-08-21

Supported by

supported by the Foundation of Education Ministry,Hubei Province,China(Q20122203)

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Abstract

In this paper,we obtain some tripled common random fixed point and tripled random fixed point theorems with several generalized Lipschitz constants in such spaces.We consider the obtained assertions without the assumption of normality of cones.The presented results generalize some coupled common fixed point theorems in the existing literature.

Key words： Tripled random fixed point; Tripled random coincidence point; Cone metric space over Banach algebra; Generalized Lipschitz contant; Tripled common random fixed point

Cite this article

JIANG Bing-hua, CAI Ze-lin, CHEN Jin-yang . Some Random Coincidence Point and Common Fixed Point Results in Cone Metric Space Over Banach Algebras[J]. Chinese Quarterly Journal of Mathematics, 2019 , 34(4) : 362 -381 . DOI: 10.13371/j.cnki.chin.q.j.m.2019.04.004

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