Results 1 to 10 of about 60 (53)

On Darbo-Sadovskii's Fixed Point Theorems Type for Abstract Measures of (Weak) Noncompactness [PDF]

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2015
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Garcia-Falset, Jesús, Latrach, Khalid
exaly   +4 more sources

On Darbo- and Sadovskii-Type Fixed Point Theorems in Banach Spaces

Symmetry
The paper aims to generalize several known Darbo- and Sadovskii-type fixed point theorems. These generalizations weaken the assumptions used so far. In addition, an example of an application is presented.
Leszek Olszowy, Tomasz Zaja̧C
exaly   +3 more sources

A Generalized Darbo-Type Fixed Point Theorem Using Monotonicity in Partially Ordered Banach Spaces With Application to Integral Equation

International Journal of Scientific Research in Science and Technology
In this paper, we establish a generalized Darbo-type fixed point theorem for monotone operators in partially ordered Banach spaces. The theorem extends classical fixed point results by incorporating measures of noncompactness and monotonicity with respect to the order structure.
Malge, Archita Vijayakumar, Nikam, Vishal   +1 more
exaly   +3 more sources

On the constrained and unconstrained controllability of semilinear Hilfer fractional systems [PDF]

Archives of Control Sciences, 2023
In the paper finite-dimensional semilinear dynamical control systems described by fractional-order state equations with the Hilfer fractional derivative are discussed.
Beata Sikora
doaj   +1 more source

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

Alexandria 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, S.A. Mohiuddine, Abdullah Alotaibi, Bhuban Chandra Deuri   +3 more
doaj   +1 more source

Existence of Solutions for Nonlinear Integral Equations in Tempered Sequence Spaces via Generalized Darbo-Type Theorem

Journal of Function Spaces, 2022
Two concepts—one of Darbo-type theorem and the other of Banach sequence spaces—play a very important and active role in ongoing research on existence problems.
S. A. Mohiuddine, Anupam Das, Abdullah Alotaibi   +2 more
doaj   +1 more source

A generalized Darbo’s fixed point theorem and its applications to different types of hybrid differential equations

Boundary Value Problems, 2023
AbstractIn this article, a generalization of Darbo’s fixed point theorem using a new contraction operator is obtained to solve our proposed hybrid differential and fractional hybrid differential equations in a Banach space. The applicability of our results with the help of a suitable example has also been shown.
Anupam Das, Sudip Deb, Rupanjali Goswami, Tazuddin Ahmed, Zeynab Izadi, Vahid Parvaneh   +5 more
openaire   +3 more sources

Applicability of Darbo’s Fixed Point Theorem on the Existence of a Solution to Fractional Differential Equations of Sequential Type

Journal of Mathematics, 2023
In this article, we study the existence of the solution for the fractional differential equations of sequential type with nonlocal integral boundary conditions. The main results are established with the aid of Darbo’s fixed point theorem and Hausdorff’s measure of noncompactness method.
Muath Awadalla, Kinda Abuasbeh, Murugesan Manigandan, Ahmed A. Al Ghafli, Hassan J. Al Salman   +4 more
openaire   +2 more sources

Treatment of a Coupled System for Quadratic Functional Integral Equation on the Real Half-Line via Measure of Noncompactness

Foundations, 2023
This article is devoted to the solvability and the asymptotic stability of a coupled system of a functional integral equation on the real half-axis. Our consideration is located in the space of bounded continuous functions on R+(BC(R+)).
Ahmed M. A. El-Sayed, Yasmin M. Y. Omar, Hind H. G. Hashem, Shorouk M. Al-Issa   +3 more
doaj   +1 more source

Existence results for infinite systems of the Hilfer fractional boundary value problems in Banach sequence spaces

Advances in Difference Equations, 2021
The main aim of this paper is to present some existence criteria for an infinite system of Hilfer fractional boundary value problems of the form D a + α , β u i = − F i ( t , u ) , u i ( a ) = u i ( b ) = 0 , a < t < b , i = 1 , 2 , … , $$ \mathcal{D}_{a^
Yousef Gholami
doaj   +1 more source