Results 71 to 80 of about 498 (162)

On the Hausdorff measure of noncompactness for the parameterized Prokhorov metric

open access: yesJournal 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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Measures of Noncompactness in Regular Spaces

open access: yesCanadian 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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Some Properties of Measures of Noncompactness in Paranormed Spaces [PDF]

open access: yesProceedings 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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Measure of Noncompactness for Compact Matrix Operators on Some BK Spaces

open access: yesJournal 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

open access: yesJournal 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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Fractional Partial Random Differential Equations with State-Dependent Delay

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2017
In the present paper we provide some existence results for the Darboux problem of partial fractional random differential equations with state-dependent delay by applying the measure of noncompactness and a random fixed point theorem with stochastic ...
Benchohra Mouffak, Heris Amel
doaj   +1 more source

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