Common fixed point theorems for commutative and weakly compatible mappings in digital metric space

In this paper, a common fixed point theorem for four commutative mappings in the setting of digital metric space is proved with a supportive example. Also, we established some common fixed point theorems for weakly compatible mappings that satisfy certain contractive conditions in digital metric spa...

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Main Authors: A. S. Saluja, Jyoti Jhade
Format: Article
Language:English
Published: University of Mohaghegh Ardabili 2023-12-01
Series:Journal of Hyperstructures
Subjects:
Online Access:https://jhs.uma.ac.ir/article_2581_1e567825afcfb88574939f88ff84a59a.pdf
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author A. S. Saluja
Jyoti Jhade
author_facet A. S. Saluja
Jyoti Jhade
author_sort A. S. Saluja
collection DOAJ
description In this paper, a common fixed point theorem for four commutative mappings in the setting of digital metric space is proved with a supportive example. Also, we established some common fixed point theorems for weakly compatible mappings that satisfy certain contractive conditions in digital metric space.
format Article
id doaj-art-9c2ae35cb02e4eb9af86f086da55db11
institution Kabale University
issn 2251-8436
2322-1666
language English
publishDate 2023-12-01
publisher University of Mohaghegh Ardabili
record_format Article
series Journal of Hyperstructures
spelling doaj-art-9c2ae35cb02e4eb9af86f086da55db112025-08-20T03:50:02ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662023-12-0111228029110.22098/jhs.2023.25812581Common fixed point theorems for commutative and weakly compatible mappings in digital metric spaceA. S. Saluja0Jyoti Jhade1Department of Mathematics, Institute for Excellence in Higher Education, P.O.Box 462016, Bhopal, IndiaDepartment of Mathematics, Institute for Excellence in Higher Education, P.O.Box 462016, Bhopal, IndiaIn this paper, a common fixed point theorem for four commutative mappings in the setting of digital metric space is proved with a supportive example. Also, we established some common fixed point theorems for weakly compatible mappings that satisfy certain contractive conditions in digital metric space.https://jhs.uma.ac.ir/article_2581_1e567825afcfb88574939f88ff84a59a.pdffixed pointdigital metric spacedigital imagecommutative mappingweakly compatible mapping
spellingShingle A. S. Saluja
Jyoti Jhade
Common fixed point theorems for commutative and weakly compatible mappings in digital metric space
Journal of Hyperstructures
fixed point
digital metric space
digital image
commutative mapping
weakly compatible mapping
title Common fixed point theorems for commutative and weakly compatible mappings in digital metric space
title_full Common fixed point theorems for commutative and weakly compatible mappings in digital metric space
title_fullStr Common fixed point theorems for commutative and weakly compatible mappings in digital metric space
title_full_unstemmed Common fixed point theorems for commutative and weakly compatible mappings in digital metric space
title_short Common fixed point theorems for commutative and weakly compatible mappings in digital metric space
title_sort common fixed point theorems for commutative and weakly compatible mappings in digital metric space
topic fixed point
digital metric space
digital image
commutative mapping
weakly compatible mapping
url https://jhs.uma.ac.ir/article_2581_1e567825afcfb88574939f88ff84a59a.pdf
work_keys_str_mv AT assaluja commonfixedpointtheoremsforcommutativeandweaklycompatiblemappingsindigitalmetricspace
AT jyotijhade commonfixedpointtheoremsforcommutativeandweaklycompatiblemappingsindigitalmetricspace