Common fixed point results for Boyd-Wong and Meir-Keeler contraction in F-Metric spaces
A new notion of metric space generalization has been defined by Jleli and Samet, namely F-metric space, in 2018. The objective of this study is to prove the existence and uniqueness of a common fixed point in the context of F-metric space. We construct theorems of a common fixed point for commuting...
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Penerbit Universiti Kebangsaan Malaysia
2023
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my-ukm.journal.233022024-04-03T04:15:50Z http://journalarticle.ukm.my/23302/ Common fixed point results for Boyd-Wong and Meir-Keeler contraction in F-Metric spaces Iffah Nurlathifah Fikri, Zabidin Salleh, A new notion of metric space generalization has been defined by Jleli and Samet, namely F-metric space, in 2018. The objective of this study is to prove the existence and uniqueness of a common fixed point in the context of F-metric space. We construct theorems of a common fixed point for commuting mapping pairs with Boyd-Wong and Meir-Keeler contraction in this space. Moreover, we extend the results of Park and Bae (1981) and Bera et al. (2022) to common fixed point theorems and F-metric space, respectively. The Boyd-Wong contraction is attractive to discuss since we cannot apply the metrizability result on the F-metric space to prove the theorem. The Meir-Keeler contraction is also interesting since it is a generalization of the Boyd-Wong contraction. Lastly, we provide an example of each case to support the findings of our study. Penerbit Universiti Kebangsaan Malaysia 2023-11 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/23302/1/Paper11.pdf Iffah Nurlathifah Fikri, and Zabidin Salleh, (2023) Common fixed point results for Boyd-Wong and Meir-Keeler contraction in F-Metric spaces. Journal of Quality Measurement and Analysis, 19 (3). pp. 133-142. ISSN 2600-8602 http://www.ukm.my/jqma |
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Institutional Repository |
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Malaysia |
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| language |
English |
| description |
A new notion of metric space generalization has been defined by Jleli and Samet, namely F-metric space, in 2018. The objective of this study is to prove the existence and uniqueness of a common fixed point in the context of F-metric space. We construct theorems of a common fixed point for commuting mapping pairs with Boyd-Wong and Meir-Keeler contraction in this space. Moreover, we extend the results of Park and Bae (1981) and Bera et al. (2022) to common fixed point theorems and F-metric space, respectively. The Boyd-Wong contraction is attractive to discuss since we cannot apply the metrizability result on the F-metric space to prove the theorem. The Meir-Keeler contraction is also interesting since it is a generalization of the Boyd-Wong contraction. Lastly, we provide an example of each case to support the findings of our study. |
| format |
Article |
| author |
Iffah Nurlathifah Fikri, Zabidin Salleh, |
| spellingShingle |
Iffah Nurlathifah Fikri, Zabidin Salleh, Common fixed point results for Boyd-Wong and Meir-Keeler contraction in F-Metric spaces |
| author_facet |
Iffah Nurlathifah Fikri, Zabidin Salleh, |
| author_sort |
Iffah Nurlathifah Fikri, |
| title |
Common fixed point results for Boyd-Wong and Meir-Keeler contraction in F-Metric spaces |
| title_short |
Common fixed point results for Boyd-Wong and Meir-Keeler contraction in F-Metric spaces |
| title_full |
Common fixed point results for Boyd-Wong and Meir-Keeler contraction in F-Metric spaces |
| title_fullStr |
Common fixed point results for Boyd-Wong and Meir-Keeler contraction in F-Metric spaces |
| title_full_unstemmed |
Common fixed point results for Boyd-Wong and Meir-Keeler contraction in F-Metric spaces |
| title_sort |
common fixed point results for boyd-wong and meir-keeler contraction in f-metric spaces |
| publisher |
Penerbit Universiti Kebangsaan Malaysia |
| publishDate |
2023 |
| url |
http://journalarticle.ukm.my/23302/1/Paper11.pdf http://journalarticle.ukm.my/23302/ http://www.ukm.my/jqma |
| _version_ |
1797908398050639872 |
| score |
13.250246 |