带有Banach代数的非正规锥度量空间中的公共不动点定理

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

数学季刊 ›› 2016, Vol. 31 ›› Issue (2): 155-161.doi: 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

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

收稿日期:2014-04-14 出版日期:2016-06-30 发布日期:2020-11-06
作者简介:HUANG Hua-ping(1978-), male, native of Anlu, Hubei, an associate professor of Hubei Normal University, engages in nonlinear analysis.
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)；

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

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

Received:2014-04-14 Online:2016-06-30 Published:2020-11-06
About author:HUANG Hua-ping(1978-), male, native of Anlu, Hubei, an associate professor of Hubei Normal University, engages in nonlinear analysis.
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)；

摘要/Abstract

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

Abstract: 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.

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

中图分类号:

O177.91

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.

HUANG Hua-ping, XU Shao-yuan, LIU Qiu-hua, MING Wei. Common Fixed Point Theorems in Non-normal Cone Metric Spaces with Banach Algebras[J]. Chinese Quarterly Journal of Mathematics, 2016, 31(2): 155-161.

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带有Banach代数的非正规锥度量空间中的公共不动点定理

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

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