Results 31 to 40 of about 5,765,792 (120)

Generalization of Darbo-type theorem and application on existence of implicit fractional integral equations in tempered sequence spaces

open access: yesAlexandria Engineering Journal, 2022
The aim of this work is to give some fixed point results based on the technique of measure of noncompactness which extend the classical Darbo’s theorem.
Anupam Das   +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

open access: yesFractal 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   +3 more
doaj   +1 more source

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

open access: yesMathematics, 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

Boundary value problem for an infinite system of second order differential equations in $\ell_p$ spaces [PDF]

open access: yesMathematica Bohemica, 2020
The concept of measures of noncompactness is applied to prove the existence of a solution for a boundary value problem for an infinite system of second order differential equations in $\ell_p$ space.
Ishfaq Ahmad Malik, Tanweer Jalal
doaj   +1 more source

Cyclic (noncyclic) phi-condensing operator and its application to a system of differential equations

open access: yesNonlinear Analysis, 2019
We establish a best proximity pair theorem for noncyclic φ-condensing operators in strictly convex Banach spaces by using a measure of noncompactness. We also obtain a counterpart result for cyclic φ-condensing operators in Banach spaces to guarantee the
Moosa Moosa Gabeleh   +2 more
doaj   +3 more sources

On the Existence of the Solutions for Some Nonlinear Volterra Integral Equations

open access: yesAbstract and Applied Analysis, 2013
We present a theorem which gives sufficient conditions for existence of at least one solution for some nonlinear functional integral equations in the space of continuous functions on the interval [0,a]. To do this, we will use Darbo's fixed-point theorem
İsmet Özdemir   +2 more
doaj   +1 more source

Some Fixed Point Theorems in Fuzzy n-Normed Spaces [PDF]

open access: yes, 2010
The main purpose of this paper is to study the existence of a fixed points in fuzzy n-normed spaces. we proved our main results, a fixed point theorem for a self mapping and a common fixed point theorem for a pair of weakly compatible mappings on fuzzy n-
Rahmat, Mohamad Rafi Segi   +1 more
core   +1 more source

Lefschetz fixed point theorem for digital images [PDF]

open access: yes, 2013
In this article we study the fixed point properties of digital images. Moreover, we prove the Lefschetz fixed point theorem for a digital image. We then give some examples about the fixed point property.
Ozgur Ege   +3 more
core   +1 more source

Existence and asymptotic stability of continuous solutions for a general form of integral equations of product type

open access: yesJournal of Innovative Applied Mathematics and Computational Sciences, 2023
In this work, we study the existence and the asymptotic stability of the continuous solutions for a general form for neutral integral equations of product type.
Azzeddine Bellour, Mahmoud Bousselsal
doaj   +1 more source

Controllability of nonlinear implicit fractional integrodifferential systems

open access: yesInternational Journal of Applied Mathematics and Computer Science, 2014
In this paper, we study the controllability of nonlinear fractional integrodifferential systems with implicit fractional derivative. Sufficient conditions for controllability results are obtained through the notion of the measure of noncompactness of a ...
Balachandran Krishnan, Divya Shanmugam
doaj   +1 more source

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