Results 51 to 60 of about 194,262,804 (90)

Lower estimates for the norm and the Kuratowski measure of noncompactness of Wiener-Hopf type operators

Let $X(\mathbb{R}^n)$ be a Banach function space and $Ω\subseteq\mathbb{R}^n$ be a measurable set of positive measure. For a Fourier multiplier $a$ on $X(\mathbb{R}^n)$, consider the Wiener-Hopf type operator $W_Ω(a):=r_ΩF^{-1}aF e_Ω$, where $F^{\pm 1}$ are the Fourier transforms, $r_Ω$ is the operator of restriction from $\mathbb{R}^n$ to $Ω$ and $e_Ω$
Karlovych, Oleksiy, Shargorodsky, Eugene
openaire   +2 more sources

Condensing Operators in Busemann Convex Metric Spaces With Applications to Hammerstein Integral Equations

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this article, we introduce a new class of cyclic and noncyclic condensing operators that extend the notion of condensing mappings previously proposed by Gabeleh and Markin (M. Gabeleh and J. Markin, Optimum solutions for a system of differential equations via measure of noncompactness, Indagationes Mathematicae, 29(3) [2018], 895–906).
A. Pradhan, M. Gabeleh, D. K. Patel, S. P. Moshokoa, Shikha Binwal   +4 more
wiley   +1 more source

Analytical Study of Variable‐Order Fractional Differential Equations With Initial and Terminal Antiperiodic Boundary Conditions

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
This study investigates the existence, uniqueness, and stability of solutions to Riemann–Liouville fractional differential equations with fractional variable‐order and antiperiodic boundary conditions. By employing the Banach fixed point theorem, we establish conditions for the uniqueness of solutions, while Schauder’s fixed point theorem is used to ...
Mohammed Said Souid, Zoubida Bouazza, M’hamed Bensaid, K. Sudar Mozhi, Mokhtari Mokhtar, Joshua Kiddy K. Asamoah, Mohammad Rezwan Habib   +6 more
wiley   +1 more source

Furi–Pera fixed point theorems in Banach algebras with applications [PDF]

, 2008
summary:In this work, we establish new Furi–Pera type fixed point theorems for the sum and the product of abstract nonlinear operators in Banach algebras; one of the operators is completely continuous and the other one is ${\mathcal D}$-Lipchitzian.
Hammache, Karima, Djebali, Smaïl
core   +1 more source

On the Solution of n‐Product of 2D‐Hadamard–Volterra Integral Equations in Banach Algebra

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this study, the solvability of a general form of product type of n‐classes of 2D‐Hadamard–Volterra integral equations in the Banach algebra C([1, a] × [1, b]) is studied and investigated under more general and weaker assumptions. We use a general form of the Petryshyn’s fixed point theorem (F.P.T.) in combination with a suitable measure of ...
Mohamed M. A. Metwali, Manochehr Kazemi, Shami A. M. Alsallami, Ji Gao   +3 more
wiley   +1 more source

On Solutions of the Nonlocal Generalized Coupled Langevin‐Type Pantograph Systems

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This paper concentrates on the analysis of a category of coupled Langevin‐type pantograph differential equations involving the generalized Caputo fractional derivative with nonlocal conditions. We conduct this analysis in two cases for the second member in the nonlinear function; in other words, for the real space R and an abstract Banach space Θ.
Houari Bouzid, Abdelkader Benali, Abdelkrim Salim, Reny George, Sina Etemad, Guotao Wang   +5 more
wiley   +1 more source

Hutchinson without Blaschke: An alternative way to fractals [PDF]

, 2020
The original approach of Hutchinson to fractals considers the defining equation as a fixed point problem, and then applies the Banach Contraction Principle. To do this, the Blaschke Completeness Theorem is essential.
Pénzes, Evelin, Bessenyei, Mihály
core   +1 more source

Existence and regularity of solutions for non-autonomous integrodifferential evolution equations involving nonlocal conditions

Demonstratio Mathematica
In this article, we investigate the existence and regularity of solutions for non-autonomous integrodifferential evolution equations involving nonlocal conditions.
Zhu Jianbo, Yan Dongxue
doaj   +1 more source

Existence and optimal control results for Caputo fractional delay Clark's subdifferential inclusions of order r∈(1,2) with sectorial operators

Optimal Control Applications and Methods, Volume 45, Issue 4, Page 1832-1850, July/August 2024.
The graphical abstract delves into Caputo fractional nonlinear differential inclusions, highlighting their complexities and the need for innovative solutions. We propose a mild solution approach to address these challenges efficiently. Our investigation focuses on determining the existence of mild solutions under varied conditions and exploring optimal
Marimuthu Mohan Raja, Velusamy Vijayakumar, Kalyana Chakravarthy Veluvolu, Anurag Shukla, Kottakkaran Sooppy Nisar   +4 more
wiley   +1 more source

Remarks on a measure of weak noncompactness in the Lebesgue space

, 1995
Using the concept of equi-integrability we introduce a measure of weak noncompactness in the Lebesgue space L 1 (0, l).
Sadarangani, Kishin, Bana´, Józef
core   +1 more source