赋值Banach代数中的锥度量空间中的一些随机重合点及公共不动点

江秉华, 蔡择林, 陈金阳

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

数学季刊 >

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

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

赋值Banach代数中的锥度量空间中的一些随机重合点及公共不动点

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收稿日期: 2017-09-02

网络出版日期: 2020-08-21

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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

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

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江秉华, 蔡择林, 陈金阳 . 赋值Banach代数中的锥度量空间中的一些随机重合点及公共不动点[J]. 数学季刊, 2019 , 34(4) : 362 -381 . DOI: 10.13371/j.cnki.chin.q.j.m.2019.04.004

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

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