SOME FIXED POINT RESULTS WITH T-DISTANCE SPACES IN COMPLETE B-METRIC SPACES

In this paper, we present an innovative type of contraction within the framework of T-distance spaces that utilize a b-metric. This advancement allows for the derivation of a new collection of fixed-point results. Additionally, we substantiate our conclusions by offering an illustrative example and...

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Main Author: Ayman Hazaymeh
Format: Article
Language:English
Published: Institute of Mechanics of Continua and Mathematical Sciences 2025-03-01
Series:Journal of Mechanics of Continua and Mathematical Sciences
Subjects:
Online Access:https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/03/13072823/jmcms-2503008-SOME-FIXED-POINT-RESULTS.pdf
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author Ayman Hazaymeh
author_facet Ayman Hazaymeh
author_sort Ayman Hazaymeh
collection DOAJ
description In this paper, we present an innovative type of contraction within the framework of T-distance spaces that utilize a b-metric. This advancement allows for the derivation of a new collection of fixed-point results. Additionally, we substantiate our conclusions by offering an illustrative example and showcasing a practical application. Ultimately, we have also derived several fixed-point results that are grounded in our primary findings.
format Article
id doaj-art-38db18c0e87c46dfa3e7bde14b878996
institution Kabale University
issn 0973-8975
2454-7190
language English
publishDate 2025-03-01
publisher Institute of Mechanics of Continua and Mathematical Sciences
record_format Article
series Journal of Mechanics of Continua and Mathematical Sciences
spelling doaj-art-38db18c0e87c46dfa3e7bde14b8789962025-08-20T03:28:05ZengInstitute of Mechanics of Continua and Mathematical SciencesJournal of Mechanics of Continua and Mathematical Sciences0973-89752454-71902025-03-0120311110.26782/jmcms.2025.03.00001SOME FIXED POINT RESULTS WITH T-DISTANCE SPACES IN COMPLETE B-METRIC SPACESAyman Hazaymeh0Department of Mathematics, Faculty of Science, Jadara University, Irbid 21110, JordanIn this paper, we present an innovative type of contraction within the framework of T-distance spaces that utilize a b-metric. This advancement allows for the derivation of a new collection of fixed-point results. Additionally, we substantiate our conclusions by offering an illustrative example and showcasing a practical application. Ultimately, we have also derived several fixed-point results that are grounded in our primary findings. https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/03/13072823/jmcms-2503008-SOME-FIXED-POINT-RESULTS.pdfbanachb-metric spacesfixed pointgeraghty contractionsnon-linear contraction
spellingShingle Ayman Hazaymeh
SOME FIXED POINT RESULTS WITH T-DISTANCE SPACES IN COMPLETE B-METRIC SPACES
Journal of Mechanics of Continua and Mathematical Sciences
banach
b-metric spaces
fixed point
geraghty contractions
non-linear contraction
title SOME FIXED POINT RESULTS WITH T-DISTANCE SPACES IN COMPLETE B-METRIC SPACES
title_full SOME FIXED POINT RESULTS WITH T-DISTANCE SPACES IN COMPLETE B-METRIC SPACES
title_fullStr SOME FIXED POINT RESULTS WITH T-DISTANCE SPACES IN COMPLETE B-METRIC SPACES
title_full_unstemmed SOME FIXED POINT RESULTS WITH T-DISTANCE SPACES IN COMPLETE B-METRIC SPACES
title_short SOME FIXED POINT RESULTS WITH T-DISTANCE SPACES IN COMPLETE B-METRIC SPACES
title_sort some fixed point results with t distance spaces in complete b metric spaces
topic banach
b-metric spaces
fixed point
geraghty contractions
non-linear contraction
url https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/03/13072823/jmcms-2503008-SOME-FIXED-POINT-RESULTS.pdf
work_keys_str_mv AT aymanhazaymeh somefixedpointresultswithtdistancespacesincompletebmetricspaces