Fixed Points on Covariant and Contravariant Maps with an Application

Rajagopalan Ramaswamy; Gunaseelan Mani; Arul Joseph Gnanaprakasam; Ola A.Ashour Abdelnaby; Vuk Stojiljković; Slobodan Radojevic; Stojan Radenović

doi:10.3390/math10224385

Fixed Points on Covariant and Contravariant Maps with an Application

Rajagopalan Ramaswamy, Gunaseelan Mani, Arul Joseph Gnanaprakasam, Ola A.Ashour Abdelnaby, Vuk Stojiljković, Slobodan Radojevic, Stojan Radenović

Mathematics

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

15 Scopus citations

Abstract

Fixed-point results on covariant maps and contravariant maps in a (Formula presented.) -algebra-valued bipolar metric space are proved. Our results generalize and extend some recently obtained results in the existing literature. Our theoretical results in this paper are supported with suitable examples. We have also provided an application to find an analytical solution to the integral equation and the electrical circuit differential equation.

Original language	English
Article number	4385
Journal	Mathematics
Volume	10
Issue number	22
DOIs	https://doi.org/10.3390/math10224385
State	Published - Nov 2022

Keywords

C-algebra-valued bipolar metric space
common fixed point
contravariant maps
covariant maps

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10.3390/math10224385

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abstract = "Fixed-point results on covariant maps and contravariant maps in a (Formula presented.) -algebra-valued bipolar metric space are proved. Our results generalize and extend some recently obtained results in the existing literature. Our theoretical results in this paper are supported with suitable examples. We have also provided an application to find an analytical solution to the integral equation and the electrical circuit differential equation.",

keywords = "C-algebra-valued bipolar metric space, common fixed point, contravariant maps, covariant maps",

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AU - Ramaswamy, Rajagopalan

AU - Mani, Gunaseelan

AU - Gnanaprakasam, Arul Joseph

AU - Abdelnaby, Ola A.Ashour

AU - Stojiljković, Vuk

AU - Radojevic, Slobodan

AU - Radenović, Stojan

PY - 2022/11

Y1 - 2022/11

N2 - Fixed-point results on covariant maps and contravariant maps in a (Formula presented.) -algebra-valued bipolar metric space are proved. Our results generalize and extend some recently obtained results in the existing literature. Our theoretical results in this paper are supported with suitable examples. We have also provided an application to find an analytical solution to the integral equation and the electrical circuit differential equation.

AB - Fixed-point results on covariant maps and contravariant maps in a (Formula presented.) -algebra-valued bipolar metric space are proved. Our results generalize and extend some recently obtained results in the existing literature. Our theoretical results in this paper are supported with suitable examples. We have also provided an application to find an analytical solution to the integral equation and the electrical circuit differential equation.

KW - C-algebra-valued bipolar metric space

KW - common fixed point

KW - contravariant maps

KW - covariant maps

UR - http://www.scopus.com/inward/record.url?scp=85142506820&partnerID=8YFLogxK

U2 - 10.3390/math10224385

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ER -

Fixed Points on Covariant and Contravariant Maps with an Application

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Keywords

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