Application of best proximity point(pair) theorem and measure of noncompactness to a system of integro differential equations in Banach space

This article explores the existence of an optimal solution for our proposed system of integro differential equations in Banach space by generalizing the best proximity point (pair) theorem and utilizing a new contraction operator. With the aid of an appropriate example, the applicability of our findings has also been demonstrated.

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Publication Details

Journal
Filomat
Published
2025-01-01
DOI
https://doi.org/10.2298/fil2503731s
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

Application of best proximity point(pair) theorem and measure of noncompactness to a system of integro differential equations in Banach space

Anupam Das, Mallika Sarmah, Dipak Sarma
Filomat
Nonlinear Differential Equations Analysis
article

Application of best proximity point(pair) theorem and measure of noncompactness to a system of integro differential equations in Banach space

Anupam Das, Mallika Sarmah, Dipak Sarma
article en

Abstract

This article explores the existence of an optimal solution for our proposed system of integro differential equations in Banach space by generalizing the best proximity point (pair) theorem and utilizing a new contraction operator. With the aid of an appropriate example, the applicability of our findings has also been demonstrated.

FilomatVol. 39(3)
Cotton University (IN)
Openalex Percentile: Top 71%
Nonlinear Differential Equations Analysis
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