Some Fixed-Point Theorems on Generalized Cyclic Mappings in B-Metric-Like Spaces

Some Fixed-Point Theorems on Generalized Cyclic Mappings in B-Metric-Like Spaces

In this paper, it is concerned with the cyclic mapping in b-metric-like spaces. The definition of W-type cyclic mappings is proposed, and then, the existence-uniqueness of the fixed points of these cyclic mappings and the corresponding fixed point theorems are studied. In b-metric-like spaces, the p...

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Main Authors: Shengquan Weng, Quanxin Zhu
Format: Article
Language:English
Published: Hindawi-Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/9042402
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spelling doaj-a006178dbde74f9098881571e601bd232021-09-13T01:23:11ZengHindawi-WileyComplexity1099-05262021-01-01202110.1155/2021/9042402Some Fixed-Point Theorems on Generalized Cyclic Mappings in B-Metric-Like SpacesShengquan Weng0Quanxin Zhu1Faculty of Physics and MathematicsSchool of Mathematics and StatisticsIn this paper, it is concerned with the cyclic mapping in b-metric-like spaces. The definition of W-type cyclic mappings is proposed, and then, the existence-uniqueness of the fixed points of these cyclic mappings and the corresponding fixed point theorems are studied. In b-metric-like spaces, the promotion of the concept of cyclic mapping is an interesting topic; then, it is worthy to continue to this part of the promotion. On this basis, the concept of φ-type cyclic mapping is proposed in this article, and the existence-uniqueness of fixed-point problems and the corresponding fixed-point theorem are considered and studied. The results of this paper further generalize and extend some previous results.http://dx.doi.org/10.1155/2021/9042402
collection DOAJ
language English
format Article
sources DOAJ
author Shengquan Weng
Quanxin Zhu
spellingShingle Shengquan Weng
Quanxin Zhu
Some Fixed-Point Theorems on Generalized Cyclic Mappings in B-Metric-Like Spaces
Complexity
author_facet Shengquan Weng
Quanxin Zhu
author_sort Shengquan Weng
title Some Fixed-Point Theorems on Generalized Cyclic Mappings in B-Metric-Like Spaces
title_short Some Fixed-Point Theorems on Generalized Cyclic Mappings in B-Metric-Like Spaces
title_full Some Fixed-Point Theorems on Generalized Cyclic Mappings in B-Metric-Like Spaces
title_fullStr Some Fixed-Point Theorems on Generalized Cyclic Mappings in B-Metric-Like Spaces
title_full_unstemmed Some Fixed-Point Theorems on Generalized Cyclic Mappings in B-Metric-Like Spaces
title_sort some fixed-point theorems on generalized cyclic mappings in b-metric-like spaces
publisher Hindawi-Wiley
series Complexity
issn 1099-0526
publishDate 2021-01-01
description In this paper, it is concerned with the cyclic mapping in b-metric-like spaces. The definition of W-type cyclic mappings is proposed, and then, the existence-uniqueness of the fixed points of these cyclic mappings and the corresponding fixed point theorems are studied. In b-metric-like spaces, the promotion of the concept of cyclic mapping is an interesting topic; then, it is worthy to continue to this part of the promotion. On this basis, the concept of φ-type cyclic mapping is proposed in this article, and the existence-uniqueness of fixed-point problems and the corresponding fixed-point theorem are considered and studied. The results of this paper further generalize and extend some previous results.
url http://dx.doi.org/10.1155/2021/9042402
work_keys_str_mv AT shengquanweng somefixedpointtheoremsongeneralizedcyclicmappingsinbmetriclikespaces
AT quanxinzhu somefixedpointtheoremsongeneralizedcyclicmappingsinbmetriclikespaces
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