Common Fixed Point Theorems on Orthogonal Branciari Metric Spaces with an Application

Gunaseelan Mani; Senthil Kumar Prakasam; Arul Joseph Gnanaprakasam; Rajagopalan Ramaswamy; Ola A.Ashour Abdelnaby; Khizar Hyatt Khan; Stojan Radenović

doi:10.3390/sym14112420

Common Fixed Point Theorems on Orthogonal Branciari Metric Spaces with an Application

Gunaseelan Mani, Senthil Kumar Prakasam, Arul Joseph Gnanaprakasam, Rajagopalan Ramaswamy, Ola A.Ashour Abdelnaby, Khizar Hyatt Khan, Stojan Radenović

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

In this article, we modify the symmetry of orthogonal metric spaces and we prove common fixed point theorems via simulation functions in orthogonal Rectangular metric spaces. We also provide an illustrative example to support our results. The derived results have been applied to find analytical solutions to integral equations. The analytical solutions are verified with a numerical simulation.

Original language	English
Article number	2420
Journal	Symmetry
Volume	14
Issue number	11
DOIs	https://doi.org/10.3390/sym14112420
State	Published - Nov 2022

Keywords

fixed point
orthogonal Rectangular metric space
orthogonal α-admissible functions
simulation functions

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10.3390/sym14112420

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abstract = "In this article, we modify the symmetry of orthogonal metric spaces and we prove common fixed point theorems via simulation functions in orthogonal Rectangular metric spaces. We also provide an illustrative example to support our results. The derived results have been applied to find analytical solutions to integral equations. The analytical solutions are verified with a numerical simulation.",

keywords = "fixed point, orthogonal Rectangular metric space, orthogonal α-admissible functions, simulation functions",

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AU - Prakasam, Senthil Kumar

AU - Gnanaprakasam, Arul Joseph

AU - Ramaswamy, Rajagopalan

AU - Abdelnaby, Ola A.Ashour

AU - Khan, Khizar Hyatt

AU - Radenović, Stojan

PY - 2022/11

Y1 - 2022/11

N2 - In this article, we modify the symmetry of orthogonal metric spaces and we prove common fixed point theorems via simulation functions in orthogonal Rectangular metric spaces. We also provide an illustrative example to support our results. The derived results have been applied to find analytical solutions to integral equations. The analytical solutions are verified with a numerical simulation.

AB - In this article, we modify the symmetry of orthogonal metric spaces and we prove common fixed point theorems via simulation functions in orthogonal Rectangular metric spaces. We also provide an illustrative example to support our results. The derived results have been applied to find analytical solutions to integral equations. The analytical solutions are verified with a numerical simulation.

KW - fixed point

KW - orthogonal Rectangular metric space

KW - orthogonal α-admissible functions

KW - simulation functions

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VL - 14

JO - Symmetry

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IS - 11

M1 - 2420

ER -

Common Fixed Point Theorems on Orthogonal Branciari Metric Spaces with an Application

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Keywords

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