Results 11 to 20 of about 173,309,611 (138)

Hausdorff measure of noncompactness of matrix mappings on certain difference sequence spaces

Boletim da Sociedade Paranaense de Matemática, 2022
The well-known difference sequence spaces were introduced by Kızmaz [17] in 1981 and have been generalized by many authors uptill now. These spaces were fi rst time extended by Sarıgöl [31] to the sequence spaces$l_{\infty }(\Delta _{q}),$ $c(\Delta _{q})$ or $c_{0}(\Delta _{q})$.
Gökçe, Fadime, Fadime Gökçe
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On composition operators of Fibonacci matrix and applications of Hausdorff measure of noncompactness [PDF]

Boletim da Sociedade Paranaense de Matemática, 2022
The aim of the paper is introduced the composition of the two infinite matrices $\Lambda=(\lambda_{nk})$ and $\widehat{F}=\left( f_{nk} \right).$ Further, we determine the $\alpha$-, $\beta$-, $\gamma$-duals of new spaces and also construct the basis for the space $\ell_{p}^{\lambda}(\widehat{F}).$ Additionally, we characterize some matrix classes on ...
Das, Anupam, Hazarika, Bipan, Kara, Emrah Evren, Basar, Feyzi   +3 more
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Measure of noncompactness of operators and matrices on the spaces c and c0 [PDF]

International Journal of Mathematics and Mathematical Sciences, 2006
In this note, using the Hausdorff measure of noncompactness, necessary and sufficient conditions are formulated for a linear operator and matrices between the spaces c and c0 to be compact.
Bruno De Malafosse, Eberhard Malkowsky, Vladimir Rakocevic   +2 more
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Generalized quasi-Banach sequence spaces and measures of noncompactness [PDF]

Anais da Academia Brasileira de Ciências, 2013
Given 0 < s ≤ 1 and ψ an s-convex function, s – ψ -sequence spaces are introduced. Several quasi-Banach sequence spaces are thus characterized as a particular case of s – ψ -spaces.
EDUARDO B. SILVA, DIOCESAR L. FERNANDEZ, LUDMILA NIKOLOVA   +2 more
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Existence of solution of infinite systems of singular integral equations of two variables in C(I × I, ℓp) with I = [0, T], T > 0 and 1 < p < ∞ using Hausdorff measure of noncompactness

Filomat, 2022
In this article, we discuss the solvability of infinite systems of singular integral equations of two variables in the Banach sequence spaces C(I ? I, ?p) with I = [0, T], T > 0 and 1 < p < ? with the help of Meir-Keeler condensing operators and Hausdorff measure of noncompactness. With an example, we illustrate our findings.
Anupam Das, Bipan Hazarika, K. Sadarangani   +2 more
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Applications of Measure of Noncompactness in Matrix Operators on Some Sequence Spaces [PDF]

Abstract and Applied Analysis, 2012
We determine the conditions for some matrix transformations from n(ϕ), where the sequence space n(ϕ), which is related to the ℓp spaces, was introduced by Sargent (1960).
M. Mursaleen, A. Latif
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Existence Results for an Impulsive Neutral Fractional Integrodifferential Equation with Infinite Delay [PDF]

International Journal of Differential Equations, 2014
We consider an impulsive neutral fractional integrodifferential equation with infinite delay in an arbitrary Banach space X. The existence of mild solution is established by using solution operator and Hausdorff measure of noncompactness.
Alka Chadha, Dwijendra N. Pandey
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Geraghty–𝔽-Contraction Type Darbo Fixed-Point Theorems With an Application

Journal of Mathematics
In this study, Darbo’s fixed-point theorem is extended by employing Geraghty–𝔽-contractions on Banach spaces. The obtained results are then applied to establish the existence of solutions for a fractional integral equation in the space C0,ς, equipped ...
Samira Hadi Bonab, Hasan Hosseinzadeh, Reza Alayi, Zoran Mitrovic, Shahla Hosseini   +4 more
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On Katugampola Fractional Operator and Katugampola Pantograph Problems in Jα,β

Journal of Mathematics
This paper explores and establishes solvability results for a nonlinear Katugampola fractional pantograph initial value problem formulated in the integral-type Hölder space Jα,β.
Mohamed M. A. Metwali, Bandar Alreshidi, Shami A. M. Alsallami   +2 more
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Measure of Noncompactness for Compact Matrix Operators on Some BK Spaces

Journal of Function Spaces, 2014
We study the spaces w0p, wp, and w∞p of sequences that are strongly summable to 0, summable, and bounded with index p≥1 by the Cesàro method of order 1 and establish the representations of the general bounded linear operators from the spaces wp into the ...
E. Malkowsky, A. Alotaibi
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