Measures of Noncompactness in Regular Spaces
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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Analysis of mathematical model involving nonlinear systems of Caputo-Fabrizio fractional differential equation. [PDF]
Kebede SG, Lakoud AG.
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Hausdorff measure of noncompactness of matrix operators on some new difference sequence spaces
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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On solvability of the impulsive Cauchy problem for integro-differential inclusions with non-densely defined operators. [PDF]
Benedetti I, Obukhovskii V, Taddei V.
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Measure of Noncompactness for Compact Matrix Operators on Some BK Spaces
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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Some Properties of Measures of Noncompactness in Paranormed Spaces [PDF]
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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Geometrical Coefficients and Measures of Noncompactness [PDF]
This thesis studies various measures of noncompactness and some geometrical coefficients in metric or Bauach spaces. These geometrical numbers are useful in the study of measures of noncompactness, some of which are interesting quantities in fixed point ...
Zhao, Weiyu
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MEASURE OF NONCOMPACTNESS IN THE STUDY OF SOLUTIONS FOR A SYSTEM OF INTEGRAL EQUATIONS [PDF]
WOS: 000462503300006In this work, we prove the existence of solutions for a tripled system of integral equations using some new results of fixed point theory associated with measure of noncompactness.
Sekman, Derya +3 more
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On the Solutions of a Quadratic Integral Equation of the Urysohn Type of Fractional Variable Order. [PDF]
Benkerrouche A +3 more
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This manuscript aims to discuss the existence of solutions for nonlinear boundary value Langevin fractional differential equations involving the generalized Caputo proportional fractional derivative via Kuratowski measure of noncompactness in an arbitrary
AHMED KAJOUNI +2 more
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