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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Format: | Article |
Language: | English |
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Erdal KARAPINAR
2020-12-01
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Series: | Results in Nonlinear Analysis |
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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. |
first_indexed | 2024-04-10T10:32:33Z |
format | Article |
id | doaj.art-de9a7d84786749acac2aeba279d60300 |
institution | Directory Open Access Journal |
issn | 2636-7556 2636-7556 |
language | English |
last_indexed | 2024-04-10T10:32:33Z |
publishDate | 2020-12-01 |
publisher | Erdal KARAPINAR |
record_format | Article |
series | Results in Nonlinear Analysis |
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 |