Existence of solution of functional integral equations by measure of noncompactness and sinc interpolation to find solution



	Existence of solution of functional integral equations by measure of noncompactness and sinc interpolation to find solution


	Fixed Point Theory, Volume 23, No. 1, 2022, 331-350, February 1st, 2022 DOI: 10.24193/fpt-ro.2022.1.21 Authors: M. Rabbani, R. Arab, B. Hazarika and N. Aghazadeh Abstract: In this article, we discuss the existence of solution for the functional integral equations in the Banach space BC(ℝ⁺) of real-valued continuous and bounded functions, using the method associated with the technique of measure of noncompactness and generalized Darbo fixed point theorem. We provide an example to illustrate our results, and we make an iterative algorithm by the Sinc interpolation to find solution to the above problem with acceptable accuracy. Key Words and Phrases: Functional integral equations, measure of noncompactness, operator type contraction, Sinc interpolation, iterative algorithm. 2010 Mathematics Subject Classification: 46B45, 46T99, 47H09, 47H10, 65D05. Published on-line: February 1st, 2022. Abstract pdf Fulltext pdf Back to volume's table of contents