A study of new fixed point results via hybrid contractions
The available literature shows that the ideas of admissible mappings and that of Suzuki-type contractions on metric spaces have been well-investigated. However, a hybrid version of these results in connection with $\theta$-contraction has not been adequately examined. On this basis therefore, the ai...
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| Format: | Article |
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Shahid Bahonar University of Kerman
2025-01-01
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| Series: | Journal of Mahani Mathematical Research |
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| Online Access: | https://jmmrc.uk.ac.ir/article_4477_ebbf8923819762e2daad0bf2f4c78e5e.pdf |
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| _version_ | 1841560203455102976 |
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| author | Mohammed Shehu Shagari Paul Oloche |
| author_facet | Mohammed Shehu Shagari Paul Oloche |
| author_sort | Mohammed Shehu Shagari |
| collection | DOAJ |
| description | The available literature shows that the ideas of admissible mappings and that of Suzuki-type contractions on metric spaces have been well-investigated. However, a hybrid version of these results in connection with $\theta$-contraction has not been adequately examined. On this basis therefore, the aim of this paper is to introduce a new concept under the name an admissible Jaggi-Suzuki-type hybrid ($\theta$-$\phi$)-contraction and to study new conditions for the existence of fixed point for this class of contractions on generalized or rectangular metric space. Applications and examples are provided to support the assumptions of our presented theorems. The results established herein extend some existing ideas in the corresponding literature. A few of these special cases are highlighted and discussed as corollaries. |
| format | Article |
| id | doaj-art-a01a4b910dfa4190927cc9df498ec8c0 |
| institution | Kabale University |
| issn | 2251-7952 2645-4505 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj-art-a01a4b910dfa4190927cc9df498ec8c02025-01-04T19:30:18ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052025-01-0114126328110.22103/jmmr.2024.22997.15904477A study of new fixed point results via hybrid contractionsMohammed Shehu Shagari0Paul Oloche1Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, NigeriaDepartment of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, NigeriaThe available literature shows that the ideas of admissible mappings and that of Suzuki-type contractions on metric spaces have been well-investigated. However, a hybrid version of these results in connection with $\theta$-contraction has not been adequately examined. On this basis therefore, the aim of this paper is to introduce a new concept under the name an admissible Jaggi-Suzuki-type hybrid ($\theta$-$\phi$)-contraction and to study new conditions for the existence of fixed point for this class of contractions on generalized or rectangular metric space. Applications and examples are provided to support the assumptions of our presented theorems. The results established herein extend some existing ideas in the corresponding literature. A few of these special cases are highlighted and discussed as corollaries.https://jmmrc.uk.ac.ir/article_4477_ebbf8923819762e2daad0bf2f4c78e5e.pdffixed pointmetric space$\theta$-contractionnonlinear integral equation |
| spellingShingle | Mohammed Shehu Shagari Paul Oloche A study of new fixed point results via hybrid contractions Journal of Mahani Mathematical Research fixed point metric space $\theta$-contraction nonlinear integral equation |
| title | A study of new fixed point results via hybrid contractions |
| title_full | A study of new fixed point results via hybrid contractions |
| title_fullStr | A study of new fixed point results via hybrid contractions |
| title_full_unstemmed | A study of new fixed point results via hybrid contractions |
| title_short | A study of new fixed point results via hybrid contractions |
| title_sort | study of new fixed point results via hybrid contractions |
| topic | fixed point metric space $\theta$-contraction nonlinear integral equation |
| url | https://jmmrc.uk.ac.ir/article_4477_ebbf8923819762e2daad0bf2f4c78e5e.pdf |
| work_keys_str_mv | AT mohammedshehushagari astudyofnewfixedpointresultsviahybridcontractions AT pauloloche astudyofnewfixedpointresultsviahybridcontractions AT mohammedshehushagari studyofnewfixedpointresultsviahybridcontractions AT pauloloche studyofnewfixedpointresultsviahybridcontractions |