Cyclic Mappings and Further Results in B-Metric-Like Spaces
Fixed point problem of many mappings has been widely studied in the research work of fixed point theory. The generalized metric space is one of the research objects of fixed point theory. B-metric-like space is one of the generalized metric spaces; in fact, the research work in B-metric-like spaces...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/3866965 |
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| author | Shengquan Weng Quanxin Zhu Baoying Du Kaibo Shi |
| author_facet | Shengquan Weng Quanxin Zhu Baoying Du Kaibo Shi |
| author_sort | Shengquan Weng |
| collection | DOAJ |
| description | Fixed point problem of many mappings has been widely studied in the research work of fixed point theory. The generalized metric space is one of the research objects of fixed point theory. B-metric-like space is one of the generalized metric spaces; in fact, the research work in B-metric-like spaces is attractive. The intention of this paper is to introduce the concept of other cyclic mappings, named as Lβ-type cyclic mappings in the setting of B-metric-like space, study the existence and uniqueness of fixed point problem of Lβ-type cyclic mapping, and obtain some new results in B-metric-like spaces. Furthermore, the main results in this paper are illustrated by a concrete example. The work of this paper extend and promote the previous results in B-metric-like spaces. |
| format | Article |
| id | doaj-art-1f75255a84614d0daf0bbb50f674cf27 |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-1f75255a84614d0daf0bbb50f674cf272025-02-03T06:01:00ZengWileyComplexity1099-05262021-01-01202110.1155/2021/3866965Cyclic Mappings and Further Results in B-Metric-Like SpacesShengquan Weng0Quanxin Zhu1Baoying Du2Kaibo Shi3Faculty of Physics and MathematicsSchool of Mathematics and StatisticsFaculty of Physics and MathematicsSchool of Electronic Information and Electrical EngineeringFixed point problem of many mappings has been widely studied in the research work of fixed point theory. The generalized metric space is one of the research objects of fixed point theory. B-metric-like space is one of the generalized metric spaces; in fact, the research work in B-metric-like spaces is attractive. The intention of this paper is to introduce the concept of other cyclic mappings, named as Lβ-type cyclic mappings in the setting of B-metric-like space, study the existence and uniqueness of fixed point problem of Lβ-type cyclic mapping, and obtain some new results in B-metric-like spaces. Furthermore, the main results in this paper are illustrated by a concrete example. The work of this paper extend and promote the previous results in B-metric-like spaces.http://dx.doi.org/10.1155/2021/3866965 |
| spellingShingle | Shengquan Weng Quanxin Zhu Baoying Du Kaibo Shi Cyclic Mappings and Further Results in B-Metric-Like Spaces Complexity |
| title | Cyclic Mappings and Further Results in B-Metric-Like Spaces |
| title_full | Cyclic Mappings and Further Results in B-Metric-Like Spaces |
| title_fullStr | Cyclic Mappings and Further Results in B-Metric-Like Spaces |
| title_full_unstemmed | Cyclic Mappings and Further Results in B-Metric-Like Spaces |
| title_short | Cyclic Mappings and Further Results in B-Metric-Like Spaces |
| title_sort | cyclic mappings and further results in b metric like spaces |
| url | http://dx.doi.org/10.1155/2021/3866965 |
| work_keys_str_mv | AT shengquanweng cyclicmappingsandfurtherresultsinbmetriclikespaces AT quanxinzhu cyclicmappingsandfurtherresultsinbmetriclikespaces AT baoyingdu cyclicmappingsandfurtherresultsinbmetriclikespaces AT kaiboshi cyclicmappingsandfurtherresultsinbmetriclikespaces |