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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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/9042402 |
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| author | Shengquan Weng Quanxin Zhu |
| author_facet | Shengquan Weng Quanxin Zhu |
| author_sort | Shengquan Weng |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-a006178dbde74f9098881571e601bd23 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-a006178dbde74f9098881571e601bd232025-02-03T06:12:49ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/90424029042402Some Fixed-Point Theorems on Generalized Cyclic Mappings in B-Metric-Like SpacesShengquan Weng0Quanxin Zhu1Faculty of Physics and Mathematics, Yibin University, Yibin 644000, ChinaSchool of Mathematics and Statistics, Hunan Normal University, Changsha 410081, ChinaIn 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 |
| spellingShingle | Shengquan Weng Quanxin Zhu Some Fixed-Point Theorems on Generalized Cyclic Mappings in B-Metric-Like Spaces Complexity |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2021/9042402 |
| work_keys_str_mv | AT shengquanweng somefixedpointtheoremsongeneralizedcyclicmappingsinbmetriclikespaces AT quanxinzhu somefixedpointtheoremsongeneralizedcyclicmappingsinbmetriclikespaces |