Results 31 to 40 of about 789 (128)

Measure of noncompactness for an infinite system of fractional Langevin equation in a sequence space

Advances in Difference Equations, 2021
A new sequence space related to the space ℓ p $\ell _{p}$ , 1 ≤ p < ∞ $1\leq ...
Ahmed Salem, Hashim M. Alshehri, Lamya Almaghamsi   +2 more
doaj   +1 more source

Compactness of quadruple band matrix operator and geometric properties

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2022
In this work, we characterize the class of compact matrix operators from c0(Q), c(Q) and l∞(Q) into c0, c and l∞, respectively, with the notion of the Hausdorff measure of noncompactness.
Mustafa Cemil Bişgin, Abdulcabbar Sönmez   +1 more
doaj  

On the Extended Version of Krasnoselśkiĭ’s Theorem for Kannan-Type Equicontractive Mappings

Mathematics, 2023
The purpose of the paper is to establish a sufficient condition for the existence of a solution to the equation T(u,C(u))=u using Kannan-type equicontractive mappings, T:A×C(A)¯→Y, where C is a compact mapping, A is a bounded, closed and convex subset of
Huaping Huang, Subhadip Pal, Ashis Bera, Lakshmi Kanta Dey   +3 more
doaj   +1 more source

Integrable Solutions of a Functional-Integral Equation [PDF]

, 1989
Sin ...
Banas, Józef, Knap, Zygmunt
core   +2 more sources

Hilfer-type fractional differential switched inclusions with noninstantaneous impulsive and nonlocal conditions

Nonlinear Analysis, 2018
In this paper, we study a new class of nonlocal problems for noninstantaneous impulsive Hilfer-type fractional differential switched inclusions in Banach spaces.
JinRong Wang, Ahmed Gamal Ibrahim, Donal O’Regan   +2 more
doaj   +1 more source

Hausdorff measure of noncompactness in some sequence spaces of a triple band matrix [PDF]

Journal of Inequalities and Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

An Infinite System of Fractional Order with p-Laplacian Operator in a Tempered Sequence Space via Measure of Noncompactness Technique

Fractal and Fractional, 2021
In the current study, a new class of an infinite system of two distinct fractional orders with p-Laplacian operator is presented. Our mathematical model is introduced with the Caputo–Katugampola fractional derivative which is considered a generalization ...
Ahmed Salem, Lamya Almaghamsi, Faris Alzahrani   +2 more
doaj   +1 more source

Compact Operators for Almost Conservative and Strongly Conservative Matrices

Abstract and Applied Analysis, 2014
We obtain the necessary and sufficient conditions for an almost conservative matrix to define a compact operator. We also establish some necessary and sufficient (or only sufficient) conditions for operators to be compact for matrix classes (f,X), where ...
S. A. Mohiuddine, M. Mursaleen, A. Alotaibi   +2 more
doaj   +1 more source

Hausdorff measure of noncompactness of certain matrix operators on absolute Nörlund spaces

, 2021
Summary: The absolute Nörlund spaces \(|N_p^u|_k\), \( k\geq 1\), have more recently been introduced and studied by \textit{G.~C. Hazar} and \textit{M.~A. Sarigöl} [Acta Math. Sin., Engl. Ser. 34, No.~5, 812--826 (2018; Zbl 1404.40005)]. In the present paper, we characterize the classes of infinite matrix and compact operators transforming from \(|N_p ...
Gulec, Canan Hazar, Sarigol, Mehmet Ali
openaire   +3 more sources

Some remarks on stronger versions of the Boundary Problem for Banach spaces [PDF]

, 2010
Let $X$ be a real Banach space. A subset $B$ of the dual unit sphere of $X$ is said to be a boundary for $X$, if every element of $X$ attains its norm on some functional in $B$.
Hardtke, Jan-David
core   +5 more sources