Fixed point results for weak contractions in partially ordered b-metric space
Abstract Objectives We explore the existence of a fixed point as well as the uniqueness of a mapping in an ordered b-metric space using a generalized $$({\check{\psi }}, \hat{\eta })$$ ( ψ ˇ , η ^ ) -weak contraction. In addition, some results are posed on a coincidence point and a coupled coinciden...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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BMC
2021-07-01
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| Series: | BMC Research Notes |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13104-021-05649-x |
| _version_ | 1831794895747022848 |
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| author | N. Seshagiri Rao K. Kalyani K. Prasad |
| author_facet | N. Seshagiri Rao K. Kalyani K. Prasad |
| author_sort | N. Seshagiri Rao |
| collection | DOAJ |
| description | Abstract Objectives We explore the existence of a fixed point as well as the uniqueness of a mapping in an ordered b-metric space using a generalized $$({\check{\psi }}, \hat{\eta })$$ ( ψ ˇ , η ^ ) -weak contraction. In addition, some results are posed on a coincidence point and a coupled coincidence point of two mappings under the same contraction condition. These findings generalize and build on a few recent studies in the literature. At the end, we provided some examples to back up our findings. Result In partially ordered b-metric spaces, it is discussed how to obtain a fixed point and its uniqueness of a mapping, and also investigated the existence of a coincidence point and a coupled coincidence point for two mappings that satisfying generalized weak contraction conditions. |
| first_indexed | 2024-12-22T15:58:42Z |
| format | Article |
| id | doaj.art-29f9da393ad54113951e65317c108483 |
| institution | Directory Open Access Journal |
| issn | 1756-0500 |
| language | English |
| last_indexed | 2024-12-22T15:58:42Z |
| publishDate | 2021-07-01 |
| publisher | BMC |
| record_format | Article |
| series | BMC Research Notes |
| spelling | doaj.art-29f9da393ad54113951e65317c1084832022-12-21T18:20:44ZengBMCBMC Research Notes1756-05002021-07-0114111110.1186/s13104-021-05649-xFixed point results for weak contractions in partially ordered b-metric spaceN. Seshagiri Rao0K. Kalyani1K. Prasad2Department of Applied Mathematics, School of Applied Natural Sciences, Adama Science and Technology UniversityDepartment of Mathematics, Vignan’s Foundation for Science, Technology & ResearchDepartment of Applied Mathematics, Koneru Lakshmaiah Educational FoundationAbstract Objectives We explore the existence of a fixed point as well as the uniqueness of a mapping in an ordered b-metric space using a generalized $$({\check{\psi }}, \hat{\eta })$$ ( ψ ˇ , η ^ ) -weak contraction. In addition, some results are posed on a coincidence point and a coupled coincidence point of two mappings under the same contraction condition. These findings generalize and build on a few recent studies in the literature. At the end, we provided some examples to back up our findings. Result In partially ordered b-metric spaces, it is discussed how to obtain a fixed point and its uniqueness of a mapping, and also investigated the existence of a coincidence point and a coupled coincidence point for two mappings that satisfying generalized weak contraction conditions.https://doi.org/10.1186/s13104-021-05649-x$$({\check{\psi }}, \hat{\eta })$$ ( ψ ˇ , η ^ ) -weak contractionFixed pointCoincidence and coupled coincidence pointsOrdered b-metric space |
| spellingShingle | N. Seshagiri Rao K. Kalyani K. Prasad Fixed point results for weak contractions in partially ordered b-metric space BMC Research Notes $$({\check{\psi }}, \hat{\eta })$$ ( ψ ˇ , η ^ ) -weak contraction Fixed point Coincidence and coupled coincidence points Ordered b-metric space |
| title | Fixed point results for weak contractions in partially ordered b-metric space |
| title_full | Fixed point results for weak contractions in partially ordered b-metric space |
| title_fullStr | Fixed point results for weak contractions in partially ordered b-metric space |
| title_full_unstemmed | Fixed point results for weak contractions in partially ordered b-metric space |
| title_short | Fixed point results for weak contractions in partially ordered b-metric space |
| title_sort | fixed point results for weak contractions in partially ordered b metric space |
| topic | $$({\check{\psi }}, \hat{\eta })$$ ( ψ ˇ , η ^ ) -weak contraction Fixed point Coincidence and coupled coincidence points Ordered b-metric space |
| url | https://doi.org/10.1186/s13104-021-05649-x |
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