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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Main Authors: Iffah Nurlathifah Fikri,, Zabidin Salleh,
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2023
Online Access:http://journalarticle.ukm.my/23302/1/Paper11.pdf
http://journalarticle.ukm.my/23302/
http://www.ukm.my/jqma
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spelling 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
institution Universiti Kebangsaan Malaysia
building Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
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
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score 13.154949