Solving Integral Equations by Common Fixed Point Theorems on Complex Partial b-Metric Spaces

In this paper, we prove some common fixed point theorems for rational contraction mapping on complex partial b-metric space. The presented results generalize and expand some of the literature’s well-known results. We also explore some of the applications of our key results.

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Main Authors: Arul Joseph Gnanaprakasam, Salah Mahmoud Boulaaras, Gunaseelan Mani, Mohamed Abdalla, Asma Alharbi
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/3856468
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author Arul Joseph Gnanaprakasam
Salah Mahmoud Boulaaras
Gunaseelan Mani
Mohamed Abdalla
Asma Alharbi
author_facet Arul Joseph Gnanaprakasam
Salah Mahmoud Boulaaras
Gunaseelan Mani
Mohamed Abdalla
Asma Alharbi
author_sort Arul Joseph Gnanaprakasam
collection DOAJ
description In this paper, we prove some common fixed point theorems for rational contraction mapping on complex partial b-metric space. The presented results generalize and expand some of the literature’s well-known results. We also explore some of the applications of our key results.
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institution Kabale University
issn 2314-8896
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language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-9d900b7b4e8a4b1282a9f6a1daef24b52025-02-03T01:25:09ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/38564683856468Solving Integral Equations by Common Fixed Point Theorems on Complex Partial b-Metric SpacesArul Joseph Gnanaprakasam0Salah Mahmoud Boulaaras1Gunaseelan Mani2Mohamed Abdalla3Asma Alharbi4Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur 603203, Kanchipuram, Chennai, Tamil Nadu, IndiaDepartment of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Saudi ArabiaDepartment of Mathematics, Sri Sankara Arts and Science College (Autonomous), Affiliated to Madras University, Enathur, 631 561, Kanchipuram, Tamil Nadu, IndiaDepartment of Mathematics, Faculty of Science, King Khalid University, Abha 61471, Saudi ArabiaDepartment of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Saudi ArabiaIn this paper, we prove some common fixed point theorems for rational contraction mapping on complex partial b-metric space. The presented results generalize and expand some of the literature’s well-known results. We also explore some of the applications of our key results.http://dx.doi.org/10.1155/2021/3856468
spellingShingle Arul Joseph Gnanaprakasam
Salah Mahmoud Boulaaras
Gunaseelan Mani
Mohamed Abdalla
Asma Alharbi
Solving Integral Equations by Common Fixed Point Theorems on Complex Partial b-Metric Spaces
Journal of Function Spaces
title Solving Integral Equations by Common Fixed Point Theorems on Complex Partial b-Metric Spaces
title_full Solving Integral Equations by Common Fixed Point Theorems on Complex Partial b-Metric Spaces
title_fullStr Solving Integral Equations by Common Fixed Point Theorems on Complex Partial b-Metric Spaces
title_full_unstemmed Solving Integral Equations by Common Fixed Point Theorems on Complex Partial b-Metric Spaces
title_short Solving Integral Equations by Common Fixed Point Theorems on Complex Partial b-Metric Spaces
title_sort solving integral equations by common fixed point theorems on complex partial b metric spaces
url http://dx.doi.org/10.1155/2021/3856468
work_keys_str_mv AT aruljosephgnanaprakasam solvingintegralequationsbycommonfixedpointtheoremsoncomplexpartialbmetricspaces
AT salahmahmoudboulaaras solvingintegralequationsbycommonfixedpointtheoremsoncomplexpartialbmetricspaces
AT gunaseelanmani solvingintegralequationsbycommonfixedpointtheoremsoncomplexpartialbmetricspaces
AT mohamedabdalla solvingintegralequationsbycommonfixedpointtheoremsoncomplexpartialbmetricspaces
AT asmaalharbi solvingintegralequationsbycommonfixedpointtheoremsoncomplexpartialbmetricspaces