Solution of Integral Equation with Neutrosophic Rectangular Triple Controlled Metric Spaces

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

doi:10.3390/sym14102074

Solution of Integral Equation with Neutrosophic Rectangular Triple Controlled Metric Spaces

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

Mathematics

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1 Scopus citations

Abstract

In this paper, we introduce the notion of neutrosophic rectangular triple-controlled metric space, relaxing the symmetry requirement of neutrosophic metric spaces, by replacing triangular inequalities with rectangular inequalities, and prove fixed point theorems. We have derived several interesting results for contraction mappings supplemented with non-trivial examples. The derived results have been applied to prove the existence of a unique analytical solution as well as a closed form of the unique solution to the integral equation.

Original language	English
Article number	2074
Journal	Symmetry
Volume	14
Issue number	10
DOIs	https://doi.org/10.3390/sym14102074
State	Published - Oct 2022

Keywords

fixed point results
integral equation
neutrosophic metric space
neutrosophic rectangular triple-controlled metric space

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10.3390/sym14102074

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title = "Solution of Integral Equation with Neutrosophic Rectangular Triple Controlled Metric Spaces",

abstract = "In this paper, we introduce the notion of neutrosophic rectangular triple-controlled metric space, relaxing the symmetry requirement of neutrosophic metric spaces, by replacing triangular inequalities with rectangular inequalities, and prove fixed point theorems. We have derived several interesting results for contraction mappings supplemented with non-trivial examples. The derived results have been applied to prove the existence of a unique analytical solution as well as a closed form of the unique solution to the integral equation.",

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author = "Gunaseelan Mani and Rajagopalan Ramaswamy and Gnanaprakasam, \{Arul Joseph\} and Abdelnaby, \{Ola A.Ashour\} and Slobodan Radojevic and Stojan Radenovi{\'c}",

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AU - Mani, Gunaseelan

AU - Ramaswamy, Rajagopalan

AU - Gnanaprakasam, Arul Joseph

AU - Abdelnaby, Ola A.Ashour

AU - Radojevic, Slobodan

AU - Radenović, Stojan

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N2 - In this paper, we introduce the notion of neutrosophic rectangular triple-controlled metric space, relaxing the symmetry requirement of neutrosophic metric spaces, by replacing triangular inequalities with rectangular inequalities, and prove fixed point theorems. We have derived several interesting results for contraction mappings supplemented with non-trivial examples. The derived results have been applied to prove the existence of a unique analytical solution as well as a closed form of the unique solution to the integral equation.

AB - In this paper, we introduce the notion of neutrosophic rectangular triple-controlled metric space, relaxing the symmetry requirement of neutrosophic metric spaces, by replacing triangular inequalities with rectangular inequalities, and prove fixed point theorems. We have derived several interesting results for contraction mappings supplemented with non-trivial examples. The derived results have been applied to prove the existence of a unique analytical solution as well as a closed form of the unique solution to the integral equation.

KW - fixed point results

KW - integral equation

KW - neutrosophic metric space

KW - neutrosophic rectangular triple-controlled metric space

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ER -

Solution of Integral Equation with Neutrosophic Rectangular Triple Controlled Metric Spaces

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Keywords

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