An existence result for a class of nonlinear Volterra functional integral equations

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  • Neda Khodabakhshi1,
  • Adrian Petrusel2,
  1. Department of Mathematics and Computer Science, Amirkabir University of Technology, Hafez Ave., P.O. Box 15875-4413, Tehran, Iran.
  2. Faculty of Mathematics and Computer Science, Babe-Bolyai University Cluj-Napoca, Koglniceanu Street, No. 1, Cluj-Napoca, Romania.

Published in Issue 2025-11-09

How to Cite

An existence result for a class of nonlinear Volterra functional integral equations. (2025). Communications in Nonlinear Analysis, 1(1). https://oiccpress.com/cna/article/view/17828

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Abstract

Recently [N. Khodabakhshi, S. M. Vaezpour, Fixed Point Theory, to appear] provides sufficient conditions for the existence of common a fixed point for two commuting operators using the technique associated with an abstract measure of noncompactness in Banach spaces. In this paper, we develop their work with further applicative investigation. More precisely, we give suitable assumptions in order to obtain the existence of solutions for a nonlinear integral equation.

Keywords

  • Coincidence point,
  • Common fixed point,
  • Measure of noncompactness,
  • Integral equation
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References

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