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

Access to Document

10.3390/sym14112420

Cite this

@article{07c52be816d044febc62d6fb063c3dfa,

title = "Common Fixed Point Theorems on Orthogonal Branciari Metric Spaces with an Application",

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",

author = "Gunaseelan Mani and Prakasam, \{Senthil Kumar\} and Gnanaprakasam, \{Arul Joseph\} and Rajagopalan Ramaswamy and Abdelnaby, \{Ola A.Ashour\} and Khan, \{Khizar Hyatt\} and Stojan Radenovi{\'c}",

note = "Publisher Copyright: {\textcopyright} 2022 by the authors.",

year = "2022",

month = nov,

doi = "10.3390/sym14112420",

language = "English",

volume = "14",

journal = "Symmetry",

issn = "2073-8994",

publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",

number = "11",

}

TY - JOUR

T1 - Common Fixed Point Theorems on Orthogonal Branciari Metric Spaces with an Application

AU - Mani, Gunaseelan

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

UR - https://www.scopus.com/pages/publications/85147813258

U2 - 10.3390/sym14112420

DO - 10.3390/sym14112420

M3 - Article

AN - SCOPUS:85147813258

SN - 2073-8994

VL - 14

JO - Symmetry

JF - Symmetry

IS - 11

M1 - 2420

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this