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 …

Application of measure of noncompactness to -solvability of infinite systems of second order differential equations

A Aghajani, E Pourhadi - Bulletin of the Belgian Mathematical …, 2015 - projecteuclid.org
The purpose of this work is to establish a new generalization of Darbo type fixed point
theorem using the concept of the so-called $\alpha $-admissibility and the Schauder fixed …

Existence of solutions of infinite systems of integral equations in two variables via measure of noncompactness

R Arab, R Allahyari, AS Haghighi - Applied Mathematics and Computation, 2014 - Elsevier
The aim of this paper is to establish fixed point theorems for condensing operators in the
Fréchet spaces. In our considerations we apply the technique of measures of …

[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 …

Generalizations of Darbo's fixed point theorem for new condensing operators with application to a functional integral equation

H Rehman, D Gopal, P Kumam - Demonstratio Mathematica, 2019 - degruyter.com
In this paper, we provide some generalizations of the Darbo's fixed point theorem associated
with the measure of noncompactness and present some results on the existence of the …

[PDF][PDF] Existence of solutions for a system of integral equations via measure of noncompactness

A Aghajani, AS Haghighi - Novi Sad J. Math, 2014 - elib.mi.sanu.ac.rs
Using the techniques of measures of noncompactness and Darbo fixed point theorem, we
present some existence results for solutions of systems of nonlinear equations in Banach …

Existence of tripled fixed points and solution of functional integral equations through a measure of noncompactness

H Rehman, P Kumam, S Dhompongsa - Carpathian Journal of Mathematics, 2019 - JSTOR
In this paper, we propose fixed point results through the notion of a measure of
noncompactness and give a generalization of a Darbo's fixed point theorem. We also prove …

[PDF][PDF] Fixed point theorems for Meir-Keeler condensing operators in partially ordered Banach spaces

N Wairojjana, MS Abdullahi, N Pakkaranang - Thai J. Math, 2019 - researchgate.net
FIXED POINT THEOREMS FOR MEIR-KEELER CONDENSING OPERATORS IN
PARTIALLY ORDERED BANACH SPACES Page 1 ISSN 1686-0209 Thai Journal of …

Existence of solutions for a class of functional integral equations of Volterra type in two variables via measure of noncompactness

A Aghajani, AS Haghighi - Iranian Journal of Science, 2014 - ijsts.shirazu.ac.ir
Existence of solutions for a class of functional integral equations of Volterra type in two variables
via measure of noncompactn Page 1 IJST (2014) 38A1: 1-8 Iranian Journal of Science & …

[PDF][PDF] Application of Perov's fixed point theorem to Fredholm type integro-differential equations in two variables

A Aghajani, E Pourhadi, M Rivero, J Trujillo - Math. Slovaca, 2016 - academia.edu
In this paper, we consider the concept of the so-called generalized metric space and give
some results on the existence, uniqueness and estimation of the solutions of Fredholm type …