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 …
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
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 …
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 …
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
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 …
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
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 …
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 …
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
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 …
inclusion with fractal feedback control. We are seeking solutions for these hybrid cubic …
Approximation of solutions for nonlinear functional integral equations
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 …
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
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 …
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 …
measure of noncompactness, and present some results on the existence of coupled fixed …