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

HUANG Hua-ping, XU Shao-yuan, LIU Qiu-hua, MING Wei

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

Chinese Quarterly Journal of Mathematics >

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

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

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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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

Cite this article

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

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