Applications of a fixed point theorem to the existence of solutions to the nonlinear functional integral equations in two variables

A Das, B Hazarika, R Arab, M Mursaleen - Rendiconti del Circolo …, 2019 - Springer
Applications of a fixed point theorem to the existence of solutions to the nonlinear functional
integral equations in two variables | SpringerLink Skip to main content Advertisement …

On the existence of solutions of some non-linear functional integral equations in Banach algebra with applications

A Deep, Deepmala, C Tunç - Arab Journal of Basic and Applied …, 2020 - Taylor & Francis
In this article, we establish some results for the existence of solution of nonlinear functional
integral equations by using Darbo's fixed point theorem in Banach algebra. As an …

Solvability for generalized nonlinear functional integral equations in Banach spaces with applications

A Deep, Deepmala… - Journal of Integral …, 2021 - projecteuclid.org
We study the solvability of integral equations using Darbo's fixed point theorem in Banach
algebra. We prove the existence of the solution for nonlinear functional integral equations …

A study on some problems on existence of solutions for nonlinear functional-integral equations

HK Pathak - Acta Mathematica Scientia, 2013 - Elsevier
In this paper, we prove the existence of solutions of some nonlinear functional-integral
equation by using a fixed point theorem which satisfy the Darbo condition. The results …

[HTML][HTML] Existence of solutions for a class of system of functional integral equation via measure of noncompactness

JR Roshan - Journal of Computational and Applied Mathematics, 2017 - Elsevier
In this paper, we give some generalization of Darbo's fixed point theorem related to the
measure of noncompactness, and present some results on the existence of coupled fixed …

An extension of Darbo's fixed point theorem for a class of system of nonlinear integral equations

A Deep, Deepmala, J Rezaei Roshan, KS Nisar… - Advances in Difference …, 2020 - Springer
We introduce an extension of Darbo's fixed point theorem via a measure of noncompactness
in a Banach space. By using our extension we study the existence of a solution for a system …

On existence and uniqueness of solutions of a nonlinear integral equation

ME Gordji, H Baghani, O Baghani - Journal of Applied …, 2011 - Wiley Online Library
On Existence and Uniqueness of Solutions of a Nonlinear Integral Equation Page 1
Hindawi Publishing Corporation Journal of Applied Mathematics Volume 2011, Article ID …

Existence of solutions for a system of integral equations using a generalization of Darbo's fixed point theorem

B Mohammadi, AA Shole Haghighi, M Khorshidi… - Mathematics, 2020 - mdpi.com
In this paper, an extension of Darbo's fixed point theorem via θ-F-contractions in a Banach
space has been presented. Measure of noncompactness approach is the main tool in the …

Some new generalization of Darbo's fixed point theorem and its application on integral equations

A Das, B Hazarika, P Kumam - Mathematics, 2019 - mdpi.com
In this article, we propose some new fixed point theorem involving measure of
noncompactness and control function. Further, we prove the existence of a solution of …

[PDF][PDF] Some fixed point theorems in generalized Darbo fixed point theorem and the existence of solutions for system of integral equations

R Arab - Journal of the Korean Mathematical Society, 2015 - academia.edu
In this paper we introduce the notion of the generalized Darbo fixed point theorem and prove
some fixed and coupled fixed point theorems in Banach space via the measure of non …