Results 31 to 40 of about 163 (105)

A New Common Fixed Point Theorem for Three Commuting Mappings

Axioms, 2020
In the present paper, we propose a common fixed point theorem for three commuting mappings via a new contractive condition which generalizes fixed point theorems of Darbo, Hajji and Aghajani et al.
Meryeme El Harrak, Ahmed Hajji
doaj   +1 more source

The Technique of Quadruple Fixed Points for Solving Functional Integral Equations under a Measure of Noncompactness

Mathematics, 2020
Under the idea of a measure of noncompactness, some fixed point results are proposed and a generalization of Darbo’s fixed point theorem is given in this manuscript.
Hasanen A. Hammad, Amal A. Khalil
doaj   +1 more source

Existence of a solution to an infinite system of weighted fractional integral equations of a function with respect to another function via a measure of noncompactness

Demonstratio Mathematica, 2023
In this article, some new generalizations of Darbo’s fixed-point theorem are given and the solvability of an infinite system of weighted fractional integral equations of a function with respect to another function is studied.
Das Anupam, Paunović Marija, Parvaneh Vahid, Mursaleen Mohammad, Bagheri Zohreh   +4 more
doaj   +1 more source

Existence and controllability of integrodifferential equations with non-instantaneous impulses in Fréchet spaces

Cubo, 2023
In this paper, we investigate existence of mild solutions to a non-instantaneous integrodifferential equation via resolvent operators in the sense of Grimmer in Fréchet spaces. Utilizing the technique of measures of noncompactness in conjunction with the
Abdelhamid Bensalem, Abdelkrim Salim, Bashir Ahmad, Mouffak Benchohra   +3 more
doaj   +1 more source

Some generalizations of Darbo’s theorem and applications to fractional integral equations [PDF]

, 2016
In this paper, some generalizations of Darbo’s fixed point theorem are presented. An existence result for a class of fractional integral equations is given as an application of the obtained results.
Bessem Samet, Mohamed Jleli, O’Regan,D., Erdal Karapinar, Donal O’Regan, Samet,B., Karapinar,E., Jleli,M., Karapınar, Erdal   +8 more
core   +1 more source

Condensing Mappings and Best Proximity Point Results

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
Best proximity pair results are proved for noncyclic relatively u‐continuous condensing mappings. In addition, best proximity points of upper semicontinuous mappings are obtained which are also fixed points of noncyclic relatively u‐continuous condensing mappings.
Sarah O. Alshehri, Hamed H. Alsulami, Naseer Shahzad, Xiaolong Qin   +3 more
wiley   +1 more source

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

Arab Journal of Basic and Applied Sciences, 2020
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.
Amar Deep, Deepmala, Cemil Tunç
doaj   +1 more source

Functional Integro-Differential Equations with State-Dependent Delay and Non-Instantaneous Impulsions: Existence and Qualitative Results

Fractal and Fractional, 2022
This paper addresses some existence, attractivity and controllability results for semilinear integrodifferential equations having non-instantaneous impulsions on an infinite interval via resolvent operators in case of neutral and state-dependent delay ...
Abdelhamid Bensalem, Abdelkrim Salim, Mouffak Benchohra, Gaston M. N’Guérékata   +3 more
doaj   +1 more source

Existence Results of Global Solutions for a Coupled Implicit Riemann-Liouville Fractional Integral Equation via the Vector Kuratowski Measure of Noncompactness

Fractal and Fractional, 2022
The main goal of this study is to demonstrate an existence result of a coupled implicit Riemann-Liouville fractional integral equation. First, we prove a new fixed point theorem in spaces with an extended norm structure.
Noura Laksaci, Ahmed Boudaoui, Wasfi Shatanawi, Taqi A. M. Shatnawi   +3 more
doaj   +1 more source

Schauder-Type Fixed Point Theorem in Generalized Fuzzy Normed Linear Spaces

Mathematics, 2020
In the present article, the Schauder-type fixed point theorem for the class of fuzzy continuous, as well as fuzzy compact operators is established in a fuzzy normed linear space (fnls) whose underlying t-norm is left-continuous at (1,1).
S. Chatterjee, T. Bag, Jeong-Gon Lee
doaj   +1 more source