[PDF][PDF] Existence results for a system of nonlinear integral equations in Banach algebras under weak topology

A Jeribi, N Kaddachi, B Krichen - Fixed Point Theory, 2017 - academia.edu
This paper is devoted to the study of a coupled system of nonlinear functional integral
equations in suitable Banach algebras. This system is reduced to a fixed point problem for a …

[PDF][PDF] Generalized form of fixed point theorems in Banach algebras under weak topology with an application

N Kaddachi - Filomat, 2019 - doiserbia.nb.rs
In this manuscript, by means of the technique of measures of weak noncompactness, we
establish a generalized form of fixed point theorems for a 2 x 2 block operator matrix …

On a class of measures of noncompactness in Banach algebras and their application to nonlinear integral equations

J Banaś, L Olszowy - Zeitschrift für Analysis und ihre Anwendungen, 2009 - ems.press
We introduce a class of measures of noncompactness in Banach algebras satisfying certain
condition and we prove a fixed point theorem for the product of two operators being …

Existence of solution for non-linear functional integral equations of two variables in Banach algebra

HM Srivastava, A Das, B Hazarika, SA Mohiuddine - symmetry, 2019 - mdpi.com
The aim of this article is to establish the existence of the solution of non-linear functional
integral equations x (l, h)= U (l, h, x (l, h))+ F l, h,∫ 0 l∫ 0 h P (l, h, r, u, x (r, u)) drdu, x (l, h)× …

[PDF][PDF] On the solutions of a class of nonlinear integral equations in the Banach algebra of the continuous functions and some examples

I Özdemir, B Ilhan, Ü Çakan - Annals of West University of Timisoara …, 2014 - sciendo.com
In this paper, we study the existence of the solutions of a class of functional integral
equations which contain a lot of classical nonlinear integral equations as special cases. We …

The technique of measures of noncompactness in Banach algebras and its applications to integral equations

J Banaś, S Dudek - Abstract and Applied Analysis, 2013 - Wiley Online Library
We study the solvability of some nonlinear functional integral equations in the Banach
algebra of real functions defined, continuous, and bounded on the real half axis. We apply …

[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 …

Existence of solutions for a system of Chandrasekhar's equations in Banach algebras underweak topology

A Fahem, A Jeribi, N Kaddachi - Filomat, 2019 - doiserbia.nb.rs
This paper is devoted to the study of a coupled system within fractional integral equations in
suitable Banach algebra. In particular, we are concerned with a quadratic integral equations …

[PDF][PDF] On the solvability of some operator equations and inclusions in Banach spaces with the weak topology

S Djebali, D O'regan… - … in Applied Analysis, 2011 - dynamicpublishers.com
The aim of this paper is to present some existence results regarding operator equation and
operator inclusions in some Banach spaces endowed with the weak topology. The results …

Fixed point theorems in WC-Banach algebras and their applications to infinite systems of integral equations

J Banaś, B Krichen, B Mefteh - Filomat, 2020 - doiserbia.nb.rs
The paper is devoted to prove a few fixed point theorems for operators acting in WC-Banach
algebras and satisfying some conditions expressed in terms of a generalized Lipschitz …