Some generalizations of Darbo fixed point theorem and applications

A Aghajani, J Banaś, N Sabzali - Bulletin of the Belgian …, 2013 - projecteuclid.org
In the paper we provide a few generalizations of Darbo fixed point theorem. Several
interconnections among assumptions imposed in the proved theorems are indicated. We …

[HTML][HTML] A generalization of Darbo's theorem with application to the solvability of systems of integral equations

A Aghajani, R Allahyari, M Mursaleen - Journal of computational and …, 2014 - Elsevier
In this paper, we give an extension of Darbo's fixed point theorem associated with measures
of noncompactness, and present some results on the existence of coupled fixed points for a …

Fixed point theorems for Meir-Keeler condensing operators via measure of noncompactness

A Aghajani, M Mursaleen, AS Haghighi - Acta mathematica scientia, 2015 - Elsevier
In this article, we introduce the notion of Meir-Keleer condensing operator in a Banach
space, a characterization using L-functions and provide a few generalization of Darbo fixed …

On the solvability of a class of nonlinear functional integral equations involving Erdélyi–Kober fractional operator

VK Pathak, LN Mishra, VN Mishra - Mathematical Methods in …, 2023 - Wiley Online Library
In this paper, utilizing the technique of generalized Darbo's fixed‐point theorem associated
with measure of noncompactness in Banach space, we analyze the existence of solution for …

Analysis of the Euler and trapezoidal discretization methods for the numerical solution of nonlinear functional Volterra integral equations of Urysohn type

S Bazm, P Lima, S Nemati - Journal of Computational and Applied …, 2021 - Elsevier
In this paper, we investigate nonlinear functional Volterra–Urysohn integral equations, a
class of nonlinear integral equations of Volterra type. The existence and uniqueness of the …

Fixed point theorems in the Fréchet space C (R+) and functional integral equations on an unbounded interval

L Olszowy - Applied Mathematics and Computation, 2012 - Elsevier
The purpose of this paper is to establish fixed point theorems for operators in the Fréchet
space of continuous functions on the real half-axis. In our considerations we apply the …

Investigating Asymptotic Stability for Hybrid Cubic Integral Inclusion with Fractal Feedback Control on the Real Half-Axis

HHG Hashem, AMA El-Sayed, SM Al-Issa - Fractal and Fractional, 2023 - mdpi.com
In this paper, we discuss the existence of solutions for a hybrid cubic delayed integral
inclusion with fractal feedback control. We are seeking solutions for these hybrid cubic …

Approximation of solutions for nonlinear functional integral equations

LN Mishra, VK Pathak, D Baleanu - 2022 - earsiv.cankaya.edu.tr
In this article, we consider a class of nonlinear functional integral equations, motivated by an
equation that offers increasing evidence to the extant literature through replication studies …

A comparative study of discretization techniques for augmented Urysohn type nonlinear functional Volterra integral equations and their convergence analysis

IA Bhat, LN Mishra - Applied Mathematics and Computation, 2024 - Elsevier
This article considers the nonlinear functional Volterra integral equation, the Urysohn type
class of nonlinear integral equations. In an approach based on the Picard iterative method …

[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 …