On (α,φ)-weak Pata contractions

In this paper, we give (α,φ)-weak Pata contractive mapping by using the simulation function and multivalued (α,φ)-weak Pata contractions and establish some fixed point results for such contractions. Also, we give an example related to (α,φ)-weak Pata contractive mappings via simulation function. Our...

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Main Authors: Murat Özdemir, Merve Aktay
Format: Article
Language:English
Published: Kyrgyz Turkish Manas University 2022-12-01
Series:MANAS: Journal of Engineering
Subjects:
Online Access:https://dergipark.org.tr/en/download/article-file/2301415
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author Murat Özdemir
Merve Aktay
author_facet Murat Özdemir
Merve Aktay
author_sort Murat Özdemir
collection DOAJ
description In this paper, we give (α,φ)-weak Pata contractive mapping by using the simulation function and multivalued (α,φ)-weak Pata contractions and establish some fixed point results for such contractions. Also, we give an example related to (α,φ)-weak Pata contractive mappings via simulation function. Our results generalize some Pata-type contractions and Banach contractions. Consequently, the obtained results encompass several results in the literature.
format Article
id doaj-art-97730f080351407ab2f13cfc436aa7ac
institution OA Journals
issn 1694-7398
language English
publishDate 2022-12-01
publisher Kyrgyz Turkish Manas University
record_format Article
series MANAS: Journal of Engineering
spelling doaj-art-97730f080351407ab2f13cfc436aa7ac2025-08-20T02:09:52ZengKyrgyz Turkish Manas UniversityMANAS: Journal of Engineering1694-73982022-12-0110222824010.51354/mjen.10856951437On (α,φ)-weak Pata contractionsMurat Özdemir0https://orcid.org/0000-0002-4928-3115Merve Aktay1https://orcid.org/0000-0002-7213-4070ATATURK UNIVERSITYATATURK UNIVERSITYIn this paper, we give (α,φ)-weak Pata contractive mapping by using the simulation function and multivalued (α,φ)-weak Pata contractions and establish some fixed point results for such contractions. Also, we give an example related to (α,φ)-weak Pata contractive mappings via simulation function. Our results generalize some Pata-type contractions and Banach contractions. Consequently, the obtained results encompass several results in the literature.https://dergipark.org.tr/en/download/article-file/2301415fixed pointpata contractionφ-weak contractionmetric spaces
spellingShingle Murat Özdemir
Merve Aktay
On (α,φ)-weak Pata contractions
MANAS: Journal of Engineering
fixed point
pata contraction
φ-weak contraction
metric spaces
title On (α,φ)-weak Pata contractions
title_full On (α,φ)-weak Pata contractions
title_fullStr On (α,φ)-weak Pata contractions
title_full_unstemmed On (α,φ)-weak Pata contractions
title_short On (α,φ)-weak Pata contractions
title_sort on α φ weak pata contractions
topic fixed point
pata contraction
φ-weak contraction
metric spaces
url https://dergipark.org.tr/en/download/article-file/2301415
work_keys_str_mv AT muratozdemir onaphweakpatacontractions
AT merveaktay onaphweakpatacontractions