On Result of Some Nonlinear Functional Integral Equations in Fixed Point Theorem over Banach Algebra

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Published: 2025-06-15
Keywords:
Lipschitzian function, Banach algebra, Compact operator, Banach space

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Kailash Kumar Kakkad
Department of Mathematics, Hemchand Yadav Vishwavidalaya, Durg (C.G.)
Prachi Singh
Department of Mathematics, Govt.V.Y.T.P.G. Autonomous College, Durg (C.G.)
Sanjay Sharma
Department of Applied Mathematics, BIT, Durg (C.G.)

Abstract

In this paper, we use Lipchitz mapping of the fixed point theorem in Banach algebra to demonstrate the existence of solutions to a few nonlinear functional integral equations. Our results improve and generalize the result of B.C. Dhage1. An example is also presented.

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Vol. 29 No. 2 (2025): Table of Content

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1.
On Result of Some Nonlinear Functional Integral Equations in Fixed Point Theorem over Banach Algebra. J. Int. Acad. Phys. Sci. [Internet]. 2025 Jun. 15 [cited 2026 Oct. 23];29(2):47-54. Available from: http://www.iaps.org.in/journal/index.php/journaliaps/article/view/1025

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