Results 21 to 30 of about 789 (128)
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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Compact operators on the sets of fractional difference sequences [PDF]
, 2018 Fractional difference sequence spaces have been studied in the literature recently. In this work, some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain operators on some difference sequence spaces of ...
Özger, Faruk
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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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Cauchy problems for functional evolution inclusions involving accretive operators
Electronic Journal of Qualitative Theory of Differential Equations, 2013 We study the existence and stability of solutions for a class of nonlinear functional evolution inclusions involving accretive operators. Our approach is employing the fixed point theory for multivalued maps and using estimates via the Hausdorff measure ...
Tran Ke
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Cyclic (Noncyclic) ϕ-condensing operator and its application to a system of differential equations [PDF]
, 2019 We establish a best proximity pair theorem for noncyclic ϕ-condensing operators in strictly convex Banach spaces by using a measure of noncompactness. We also obtain a counterpart result for cyclic ϕ-condensing operators in Banach spaces to guarantee the
Gabeleh M., Moshokoa S. P., Vetro C.
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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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Second order evolution equations with nonlocal conditions
Demonstratio Mathematica, 2017 In this paper, we shall establish sufficient conditions for the existence of solutions for second order semilinear functional evolutions equation with nonlocal conditions in Fréchet spaces.
Benchohra Mouffak +2 more
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Hausdorff measure of noncompactness of matrix operators on some sequence spaces of a double sequential band matrix [PDF]
Journal of Inequalities and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abyar, Elahe, Ghaemi, Mohammad Bagher
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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 +2 more
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Measure of noncompactness of operators and matrices on the spaces c and c0
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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