Application of Fixed-Point Results to Integral Equation through F-Khan Contraction

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

doi:10.3390/sym15030773

Application of Fixed-Point Results to Integral Equation through F-Khan Contraction

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

Mathematics

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

1 Scopus citations

Abstract

In this article, we establish fixed point results by defining the concept of (Formula presented.) -Khan contraction of an orthogonal set by modifying the symmetry of usual contractive conditions. We also provide illustrative examples to support our results. The derived results have been applied to find analytical solutions to integral equations. The analytical solutions are verified with numerical simulation.

Original language	English
Article number	773
Journal	Symmetry
Volume	15
Issue number	3
DOIs	https://doi.org/10.3390/sym15030773
State	Published - Mar 2023

Keywords

F-Khan contraction
fixed point
orthogonal set

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10.3390/sym15030773

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abstract = "In this article, we establish fixed point results by defining the concept of (Formula presented.) -Khan contraction of an orthogonal set by modifying the symmetry of usual contractive conditions. We also provide illustrative examples to support our results. The derived results have been applied to find analytical solutions to integral equations. The analytical solutions are verified with numerical simulation.",

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AU - Abdelnaby, Ola A.Ashour

AU - Khan, Khizar Hyatt

AU - Radenović, Stojan

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AB - In this article, we establish fixed point results by defining the concept of (Formula presented.) -Khan contraction of an orthogonal set by modifying the symmetry of usual contractive conditions. We also provide illustrative examples to support our results. The derived results have been applied to find analytical solutions to integral equations. The analytical solutions are verified with numerical simulation.

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KW - fixed point

KW - orthogonal set

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Application of Fixed-Point Results to Integral Equation through F-Khan Contraction

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Keywords

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