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 …
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 …
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)× …
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 …
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 …
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 …
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 …
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 …
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 …