Some Fixed Point Theorems for Cyclic Mapping in a Complete B-metric-like Space

In recent years, the research of xed point theorem is a hot topic all the time. In this paper, we proposed the notion of a new mapping, that is, a general LW-type Lipschitz cyclic mapping, in complete b-metric-like spaces. Then, we obtained the existence and uniqueness theorems of its fixed point. M...

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Main Author: Shengquan Weng, Xingyan Liu, Zengfu Chao
Format: Article
Language:English
Published: Erdal KARAPINAR 2020-12-01
Series:Results in Nonlinear Analysis
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/1386247
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author Shengquan Weng, Xingyan Liu, Zengfu Chao
author_facet Shengquan Weng, Xingyan Liu, Zengfu Chao
author_sort Shengquan Weng, Xingyan Liu, Zengfu Chao
collection DOAJ
description In recent years, the research of xed point theorem is a hot topic all the time. In this paper, we proposed the notion of a new mapping, that is, a general LW-type Lipschitz cyclic mapping, in complete b-metric-like spaces. Then, we obtained the existence and uniqueness theorems of its fixed point. Moreover, we give some examples to illustrate the main results in this paper.
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spelling doaj.art-de9a7d84786749acac2aeba279d603002023-02-15T16:21:03ZengErdal KARAPINARResults in Nonlinear Analysis2636-75562636-75562020-12-0134206212Some Fixed Point Theorems for Cyclic Mapping in a Complete B-metric-like SpaceShengquan Weng, Xingyan Liu, Zengfu ChaoIn recent years, the research of xed point theorem is a hot topic all the time. In this paper, we proposed the notion of a new mapping, that is, a general LW-type Lipschitz cyclic mapping, in complete b-metric-like spaces. Then, we obtained the existence and uniqueness theorems of its fixed point. Moreover, we give some examples to illustrate the main results in this paper.https://dergipark.org.tr/tr/download/article-file/1386247b-metric-like spacexed point theoremcyclic mapping
spellingShingle Shengquan Weng, Xingyan Liu, Zengfu Chao
Some Fixed Point Theorems for Cyclic Mapping in a Complete B-metric-like Space
Results in Nonlinear Analysis
b-metric-like space
xed point theorem
cyclic mapping
title Some Fixed Point Theorems for Cyclic Mapping in a Complete B-metric-like Space
title_full Some Fixed Point Theorems for Cyclic Mapping in a Complete B-metric-like Space
title_fullStr Some Fixed Point Theorems for Cyclic Mapping in a Complete B-metric-like Space
title_full_unstemmed Some Fixed Point Theorems for Cyclic Mapping in a Complete B-metric-like Space
title_short Some Fixed Point Theorems for Cyclic Mapping in a Complete B-metric-like Space
title_sort some fixed point theorems for cyclic mapping in a complete b metric like space
topic b-metric-like space
xed point theorem
cyclic mapping
url https://dergipark.org.tr/tr/download/article-file/1386247
work_keys_str_mv AT shengquanwengxingyanliuzengfuchao somefixedpointtheoremsforcyclicmappinginacompletebmetriclikespace