带有Banach代数的非正规锥度量空间中的公共不动点定理

黄华平, 许绍元, 刘秋华, 明巍

doi:10.13371/j.cnki.chin.q.j.m.2016.02.006

数学季刊 >

2016 , Vol. 31 >Issue 2: 155 - 161

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2016.02.006

带有Banach代数的非正规锥度量空间中的公共不动点定理

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1. School of Mathematical Sciences,Beijing Normal University2. Department of Mathematics and Statistics,Hanshan Normal University3. School of Marxism,Hubei Normal University

HUANG Hua-ping(1978-), male, native of Anlu, Hubei, an associate professor of Hubei Normal University, engages in nonlinear analysis.

收稿日期: 2014-04-14

网络出版日期: 2020-11-06

基金资助

Supported by the Science and Technology Research Project of the Education Department of Hubei Province(B2015137)； Supported by the National Social Science Foundation of China(12BZS050)；

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Common Fixed Point Theorems in Non-normal Cone Metric Spaces with Banach Algebras

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1. School of Mathematical Sciences,Beijing Normal University2. Department of Mathematics and Statistics,Hanshan Normal University3. School of Marxism,Hubei Normal University

HUANG Hua-ping(1978-), male, native of Anlu, Hubei, an associate professor of Hubei Normal University, engages in nonlinear analysis.

Received date: 2014-04-14

Online published: 2020-11-06

Supported by

Supported by the Science and Technology Research Project of the Education Department of Hubei Province(B2015137)； Supported by the National Social Science Foundation of China(12BZS050)；

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摘要

In this paper, we obtain a class of common fixed point theorems for generalized Lipschitz mappings in cone metric spaces with Banach algebras without the assumption of normality of cones. The results greatly generalize some results in the literature. Moreover,we give an example to support the main assertions.

关键词： cone metric space with Banach algebra; generalized Lispchitz constant; weakly compatible

本文引用格式

黄华平, 许绍元, 刘秋华, 明巍 . 带有Banach代数的非正规锥度量空间中的公共不动点定理[J]. 数学季刊, 2016 , 31(2) : 155 -161 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.02.006

Abstract

Key words： cone metric space with Banach algebra; generalized Lispchitz constant; weakly compatible

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