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
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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 +2 more
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Impulsive Fractional Differential Inclusions and Almost Periodic Waves
Mathematics, 2021 In the present paper, the concept of almost periodic waves is introduced to discontinuous impulsive fractional inclusions involving Caputo fractional derivative.
Gani Stamov, Ivanka Stamova
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Dimension and measure theory of self-similar structures with no separation condition [PDF]
, 2015 We introduce methods to cope with self-similar sets when we do not assume any separation condition. For a self-similar set K ⊆ ℝᵈ we establish a similarity dimension-like formula for Hausdorff dimension regardless of any separation condition.
Farkas, Ábel
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Compact matrix operators on a new sequence space related to ℓ p $\ell_{p}$ spaces
Journal of Inequalities and Applications, 2016 In this paper, we derive some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the sequence space ℓ p ( r , s , t ; B ( m ) ) $\ell_{p}(r,s,t;B^{(m)})$ which is related to ℓ p ...
Abdullah Alotaibi +2 more
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The Hausdorff measure of noncompactness of matrix operators on some BK spaces [PDF]
Operators and Matrices, 2011 In the present paper, we establish some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the spaces c0 and ∞ which have recently been introduced in [On the spaces of λ -convergent and bounded sequences, Thai J. Math. 8(2) (2010) 311–329].
M. Mursaleen, Abdullah K. Noman
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Generalized quasi-Banach sequence spaces and measures of noncompactness
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 +2 more
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On relative Hausdorff measures of noncompactness and relative Chebyshev radii in Banach spaces [PDF]
Proceedings of the American Mathematical Society, 1996 In this paper we prove some formulae and evaluations on relative Hausdorff measures of noncompactness and relative Chebyshev radii in various Banach spaces. We generalize the Lifschitz constant κ ( X ) \kappa (X) and introduce a function κ ~
Wiśnicki, Andrzej, Wośko, Jacek
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Infinite System of Differential Equations in Some Spaces
Abstract and Applied Analysis, 2012 The first measure of noncompactness was defined by Kuratowski in 1930 and later the Hausdorff measure of noncompactness was introduced in 1957 by Goldenštein et al.
M. Mursaleen, Abdullah Alotaibi
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Existence of mild solutions for impulsive neutral Hilfer fractional evolution equations
Advances in Difference Equations, 2020 In this paper, we investigate the existence of mild solutions for neutral Hilfer fractional evolution equations with noninstantaneous impulsive conditions in a Banach space.
Pallavi Bedi +3 more
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