Solving an integral equation vian orthogonal neutrosophic rectangular metric space

In this paper, we introduce the notion of an orthogonal neutrosophic rectangular metric space and prove fixed point theorems. We extend some of the well-known results in the literature. As applications of the main results, we apply our main results to show the existence of a unique solution.

Bibliographic Details
Main Authors: Gunaseelan Mani, Arul Joseph Gnanaprakasam, Vidhya Varadharajan, Fahd Jarad
Format: Article
Language:English
Published: AIMS Press 2023-01-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023189?viewType=HTML
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author Gunaseelan Mani
Arul Joseph Gnanaprakasam
Vidhya Varadharajan
Fahd Jarad
author_facet Gunaseelan Mani
Arul Joseph Gnanaprakasam
Vidhya Varadharajan
Fahd Jarad
author_sort Gunaseelan Mani
collection DOAJ
description In this paper, we introduce the notion of an orthogonal neutrosophic rectangular metric space and prove fixed point theorems. We extend some of the well-known results in the literature. As applications of the main results, we apply our main results to show the existence of a unique solution.
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spelling doaj.art-b720c9a9b4824c9ca442d393a6ffe8ce2023-01-13T06:35:48ZengAIMS PressAIMS Mathematics2473-69882023-01-01823791382510.3934/math.2023189Solving an integral equation vian orthogonal neutrosophic rectangular metric spaceGunaseelan Mani 0Arul Joseph Gnanaprakasam 1Vidhya Varadharajan2Fahd Jarad31. Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, Tamil Nadu, India2. Department 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, India3. Department of Mathematics, School of Advanced Sciences, VIT-Chennai-600127, India4. Department of Mathematics, Çankaya University, Etimesgut 06790, Ankara, Turkey 5. Department of Medical Research, China Medical University, Taichung 40402, TaiwanIn this paper, we introduce the notion of an orthogonal neutrosophic rectangular metric space and prove fixed point theorems. We extend some of the well-known results in the literature. As applications of the main results, we apply our main results to show the existence of a unique solution.https://www.aimspress.com/article/doi/10.3934/math.2023189?viewType=HTMLneutrosophic metric spaceneutrosophic rectangular metric spaceorthogonal neutrosophic rectangular metric spacefixed point resultsintegral equation
spellingShingle Gunaseelan Mani
Arul Joseph Gnanaprakasam
Vidhya Varadharajan
Fahd Jarad
Solving an integral equation vian orthogonal neutrosophic rectangular metric space
AIMS Mathematics
neutrosophic metric space
neutrosophic rectangular metric space
orthogonal neutrosophic rectangular metric space
fixed point results
integral equation
title Solving an integral equation vian orthogonal neutrosophic rectangular metric space
title_full Solving an integral equation vian orthogonal neutrosophic rectangular metric space
title_fullStr Solving an integral equation vian orthogonal neutrosophic rectangular metric space
title_full_unstemmed Solving an integral equation vian orthogonal neutrosophic rectangular metric space
title_short Solving an integral equation vian orthogonal neutrosophic rectangular metric space
title_sort solving an integral equation vian orthogonal neutrosophic rectangular metric space
topic neutrosophic metric space
neutrosophic rectangular metric space
orthogonal neutrosophic rectangular metric space
fixed point results
integral equation
url https://www.aimspress.com/article/doi/10.3934/math.2023189?viewType=HTML
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AT aruljosephgnanaprakasam solvinganintegralequationvianorthogonalneutrosophicrectangularmetricspace
AT vidhyavaradharajan solvinganintegralequationvianorthogonalneutrosophicrectangularmetricspace
AT fahdjarad solvinganintegralequationvianorthogonalneutrosophicrectangularmetricspace