Common fixed point results on an extended b-metric space

Abstract In this paper, we investigate the existence of common fixed points of a certain mapping in the frame of an extended b-metric space. The given results cover a number of well-known fixed point theorems in the literature. We state some examples to illustrate our results.

Bibliographic Details
Main Authors: Badr Alqahtani, Andreea Fulga, Erdal Karapınar
Format: Article
Language:English
Published: SpringerOpen 2018-07-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-018-1745-4
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author Badr Alqahtani
Andreea Fulga
Erdal Karapınar
author_facet Badr Alqahtani
Andreea Fulga
Erdal Karapınar
author_sort Badr Alqahtani
collection DOAJ
description Abstract In this paper, we investigate the existence of common fixed points of a certain mapping in the frame of an extended b-metric space. The given results cover a number of well-known fixed point theorems in the literature. We state some examples to illustrate our results.
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spelling doaj.art-9330059c312b46f9842683f195e82ffc2022-12-21T19:12:30ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-07-012018111510.1186/s13660-018-1745-4Common fixed point results on an extended b-metric spaceBadr Alqahtani0Andreea Fulga1Erdal Karapınar2Department of Mathematics, King Saud UniversityDepartment of Mathematics and Computer Sciences, Universitatea Transilvania BrasovDepartment of Mathematics, Atilim UniversityAbstract In this paper, we investigate the existence of common fixed points of a certain mapping in the frame of an extended b-metric space. The given results cover a number of well-known fixed point theorems in the literature. We state some examples to illustrate our results.http://link.springer.com/article/10.1186/s13660-018-1745-4Fixed pointMetric space
spellingShingle Badr Alqahtani
Andreea Fulga
Erdal Karapınar
Common fixed point results on an extended b-metric space
Journal of Inequalities and Applications
Fixed point
Metric space
title Common fixed point results on an extended b-metric space
title_full Common fixed point results on an extended b-metric space
title_fullStr Common fixed point results on an extended b-metric space
title_full_unstemmed Common fixed point results on an extended b-metric space
title_short Common fixed point results on an extended b-metric space
title_sort common fixed point results on an extended b metric space
topic Fixed point
Metric space
url http://link.springer.com/article/10.1186/s13660-018-1745-4
work_keys_str_mv AT badralqahtani commonfixedpointresultsonanextendedbmetricspace
AT andreeafulga commonfixedpointresultsonanextendedbmetricspace
AT erdalkarapınar commonfixedpointresultsonanextendedbmetricspace