Some fixed point theorems on $\alpha$-$\beta$-$G$-complete $ G $-metric spaces

In this manuscript, we initiate the concept of rectangular $\alpha$-$G$-admissible mappings with respect to $\beta$ and we consider related type contractions in the setting of $G$-metric spaces. We provide some fixed point results. Also, some examples are given to support the obtained results.

Bibliographic Details
Main Authors: V.S. Chary, G.S.M. Reddy, H. Isik, H. Aydi, D.S. Chary
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2021-04-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/4112
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author V.S. Chary
G.S.M. Reddy
H. Isik
H. Aydi
D.S. Chary
author_facet V.S. Chary
G.S.M. Reddy
H. Isik
H. Aydi
D.S. Chary
author_sort V.S. Chary
collection DOAJ
description In this manuscript, we initiate the concept of rectangular $\alpha$-$G$-admissible mappings with respect to $\beta$ and we consider related type contractions in the setting of $G$-metric spaces. We provide some fixed point results. Also, some examples are given to support the obtained results.
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spelling doaj.art-2ece9c4af7104e42af844e4b57f715812024-04-16T07:05:54ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102021-04-01131586710.15330/cmp.13.1.58-673592Some fixed point theorems on $\alpha$-$\beta$-$G$-complete $ G $-metric spacesV.S. Chary0G.S.M. Reddy1H. Isik2https://orcid.org/0000-0001-7558-4088H. Aydi3https://orcid.org/0000-0003-4606-7211D.S. Chary4Faculty of Science and Technology, ICFAI Foundation for Higher Education, 501203, Hyderabad, IndiaFaculty of Science and Technology, ICFAI Foundation for Higher Education, 501203, Hyderabad, IndiaDepartment of Engineering Science, Bandırma Onyedi Eylül University, 10200 Bandırma, Balıkesir, TurkeyInstitut Supérieur d'Informatique et des Techniques de Communication, Université de Sousse, 4000, H. Sousse, Tunisia, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South AfricaDepartment of Statistics and Mathematics, College of Agriculture, Rajendranagar, 500030, Hyderabad, IndiaIn this manuscript, we initiate the concept of rectangular $\alpha$-$G$-admissible mappings with respect to $\beta$ and we consider related type contractions in the setting of $G$-metric spaces. We provide some fixed point results. Also, some examples are given to support the obtained results.https://journals.pnu.edu.ua/index.php/cmp/article/view/4112$g$-metric spacefixed pointalmost perfect functionrectangular $\alpha$-admissible mapping
spellingShingle V.S. Chary
G.S.M. Reddy
H. Isik
H. Aydi
D.S. Chary
Some fixed point theorems on $\alpha$-$\beta$-$G$-complete $ G $-metric spaces
Karpatsʹkì Matematičnì Publìkacìï
$g$-metric space
fixed point
almost perfect function
rectangular $\alpha$-admissible mapping
title Some fixed point theorems on $\alpha$-$\beta$-$G$-complete $ G $-metric spaces
title_full Some fixed point theorems on $\alpha$-$\beta$-$G$-complete $ G $-metric spaces
title_fullStr Some fixed point theorems on $\alpha$-$\beta$-$G$-complete $ G $-metric spaces
title_full_unstemmed Some fixed point theorems on $\alpha$-$\beta$-$G$-complete $ G $-metric spaces
title_short Some fixed point theorems on $\alpha$-$\beta$-$G$-complete $ G $-metric spaces
title_sort some fixed point theorems on alpha beta g complete g metric spaces
topic $g$-metric space
fixed point
almost perfect function
rectangular $\alpha$-admissible mapping
url https://journals.pnu.edu.ua/index.php/cmp/article/view/4112
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AT dschary somefixedpointtheoremsonalphabetagcompletegmetricspaces