Application of fixed point results in the setting of F-contraction and simulation function in the setting of bipolar metric space

Gunaseelan Mani; Rajagopalan Ramaswamy; Arul Joseph Gnanaprakasam; Vuk Stojiljković; Zaid M. Fadail; Stojan Radenović

doi:10.3934/math.2023168

Application of fixed point results in the setting of F-contraction and simulation function in the setting of bipolar metric space

Gunaseelan Mani, Rajagopalan Ramaswamy, Arul Joseph Gnanaprakasam, Vuk Stojiljković, Zaid M. Fadail, Stojan Radenović

Mathematics

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13 Scopus citations

Abstract

In the present work, simulation function is applied to establish fixed point results of F-contraction in the setting of Bi-polar metric space. Our results are extensions or generalizations of results proved in the literature. The derived results are substantiated with suitable examples and an application to find the solution to the integral equation.

Original language	English
Pages (from-to)	3269-3285
Number of pages	17
Journal	AIMS Mathematics
Volume	8
Issue number	2
DOIs	https://doi.org/10.3934/math.2023168
State	Published - 2023

Keywords

BPMS
fixed point
simulation function

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10.3934/math.2023168

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abstract = "In the present work, simulation function is applied to establish fixed point results of F-contraction in the setting of Bi-polar metric space. Our results are extensions or generalizations of results proved in the literature. The derived results are substantiated with suitable examples and an application to find the solution to the integral equation.",

keywords = "BPMS, fixed point, simulation function",

author = "Gunaseelan Mani and Rajagopalan Ramaswamy and Gnanaprakasam, \{Arul Joseph\} and Vuk Stojiljkovi{\'c} and Fadail, \{Zaid M.\} and Stojan Radenovi{\'c}",

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AU - Mani, Gunaseelan

AU - Ramaswamy, Rajagopalan

AU - Gnanaprakasam, Arul Joseph

AU - Stojiljković, Vuk

AU - Fadail, Zaid M.

AU - Radenović, Stojan

PY - 2023

Y1 - 2023

N2 - In the present work, simulation function is applied to establish fixed point results of F-contraction in the setting of Bi-polar metric space. Our results are extensions or generalizations of results proved in the literature. The derived results are substantiated with suitable examples and an application to find the solution to the integral equation.

AB - In the present work, simulation function is applied to establish fixed point results of F-contraction in the setting of Bi-polar metric space. Our results are extensions or generalizations of results proved in the literature. The derived results are substantiated with suitable examples and an application to find the solution to the integral equation.

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KW - fixed point

KW - simulation function

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M3 - Article

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JO - AIMS Mathematics

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ER -

Application of fixed point results in the setting of F-contraction and simulation function in the setting of bipolar metric space

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Keywords

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