Advances on the fixed point results via simulation function involving rational terms

Advances on the fixed point results via simulation function involving rational terms

Abstract In this paper, we propose two new contractions via simulation function that involves rational expression in the setting of partial b-metric space. The obtained results not only extend, but also generalize and unify the existing results in two senses: in the sense of contraction terms and in...

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Main Authors: Erdal Karapınar, Chi-Ming Chen, Maryam A. Alghamdi, Andreea Fulga
Format: Article
Language:English
Published: SpringerOpen 2021-09-01
Series:Advances in Difference Equations
Subjects:
Simulation functions
Contraction
Fixed point
Online Access:https://doi.org/10.1186/s13662-021-03564-w
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spelling doaj-dc01e604beb541d2ba42afabc70f7fbc2021-09-12T11:09:41ZengSpringerOpenAdvances in Difference Equations1687-18472021-09-012021112010.1186/s13662-021-03564-wAdvances on the fixed point results via simulation function involving rational termsErdal Karapınar0Chi-Ming Chen1Maryam A. Alghamdi2Andreea Fulga3Division of Applied Mathematics, Thu Dau Mot UniversityInstitute for Computational and Modeling Science, National Tsing Hua UniversityDepartment of Mathematics, University of Jeddah, College of ScienceDepartment of Mathematics and Computer Science, Transilvania University of BraşovAbstract In this paper, we propose two new contractions via simulation function that involves rational expression in the setting of partial b-metric space. The obtained results not only extend, but also generalize and unify the existing results in two senses: in the sense of contraction terms and in the sense of the abstract setting. We present an example to indicate the validity of the main theorem.https://doi.org/10.1186/s13662-021-03564-wSimulation functionsContractionFixed point
collection DOAJ
language English
format Article
sources DOAJ
author Erdal Karapınar
Chi-Ming Chen
Maryam A. Alghamdi
Andreea Fulga
spellingShingle Erdal Karapınar
Chi-Ming Chen
Maryam A. Alghamdi
Andreea Fulga
Advances on the fixed point results via simulation function involving rational terms
Advances in Difference Equations
Simulation functions
Contraction
Fixed point
author_facet Erdal Karapınar
Chi-Ming Chen
Maryam A. Alghamdi
Andreea Fulga
author_sort Erdal Karapınar
title Advances on the fixed point results via simulation function involving rational terms
title_short Advances on the fixed point results via simulation function involving rational terms
title_full Advances on the fixed point results via simulation function involving rational terms
title_fullStr Advances on the fixed point results via simulation function involving rational terms
title_full_unstemmed Advances on the fixed point results via simulation function involving rational terms
title_sort advances on the fixed point results via simulation function involving rational terms
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2021-09-01
description Abstract In this paper, we propose two new contractions via simulation function that involves rational expression in the setting of partial b-metric space. The obtained results not only extend, but also generalize and unify the existing results in two senses: in the sense of contraction terms and in the sense of the abstract setting. We present an example to indicate the validity of the main theorem.
topic Simulation functions
Contraction
Fixed point
url https://doi.org/10.1186/s13662-021-03564-w
work_keys_str_mv AT erdalkarapınar advancesonthefixedpointresultsviasimulationfunctioninvolvingrationalterms
AT chimingchen advancesonthefixedpointresultsviasimulationfunctioninvolvingrationalterms
AT maryamaalghamdi advancesonthefixedpointresultsviasimulationfunctioninvolvingrationalterms
AT andreeafulga advancesonthefixedpointresultsviasimulationfunctioninvolvingrationalterms
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