Some Properties of Measures of Noncompactness in Paranormed Spaces [PDF]
Proceedings of the American Mathematical Society, 1988 This paper presents new properties of important measures of noncompactness in paranormed spaces. Using these properties some fixed point theorems for multivalued mappings in general topological vector spaces are obtained in a straightforward way.
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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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On the Hausdorff measure of noncompactness for the parameterized Prokhorov metric
Journal of Inequalities and Applications, 2016 We quantify the Prokhorov theorem by establishing an explicit formula for the Hausdorff measure of noncompactness (HMNC) for the parameterized Prokhorov metric on the set of Borel probability measures on a Polish space.
Ben Berckmoes
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Analysis of mathematical model involving nonlinear systems of Caputo-Fabrizio fractional differential equation. [PDF]
Bound Value Probl, 2023 Kebede SG, Lakoud AG.
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Measures of Noncompactness in Regular Spaces
Canadian Mathematical Bulletin, 2014 AbstractPrevious results by the author on the connection between three measures of noncompactness obtained for Lp are extended to regular spaces of measurable functions. An example is given of the advantages of some cases in comparison with others. Geometric characteristics of regular spaces are determined.
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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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On solvability of the impulsive Cauchy problem for integro-differential inclusions with non-densely defined operators. [PDF]
Philos Trans A Math Phys Eng Sci, 2021 Benedetti I, Obukhovskii V, Taddei V.
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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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Hausdorff measure of noncompactness of matrix operators on some new difference sequence spaces
Journal of Inequalities and Applications, 2016 The new sequence spaces X ( r , s , t ; Δ ) $X(r,s,t;\Delta)$ for X ∈ { l ∞ , c , c 0 } $X\in\{l_{\infty}, c, c_{0}\}$ have been defined by using generalized means and difference operator.
Elahe Abyar, Mohammad Bagher Ghaemi
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Radon–Nikodým indexes and measures of weak noncompactness
Journal of Functional Analysis, 2014 The authors introduce and study certain indices related to the Radon-Nikodým property in Banach spaces. Interesting quantitative versions of classic results in RNP are proved. Let \(E\) be a Banach space and \((\Omega,\Sigma,\mu)\) a complete probability space.
Cascales, B., Pérez, A., Raja, M.
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