Real Interpolation and Measure of Weak Noncompactness [PDF]
Mathematische Nachrichten, 1995 AbstractBehavior of weak measures of noncompactness under real interpolation is investigated. It is shown that “convexity type” theorems hold true for weak measures of noncompactness.
Aksoy, A. G., Maligranda, Lech
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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.
Olga Hadžić, Hadžić, O.
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ON MEASURES OF NONCOMPACTNESS IN INEQUALITIES
Научный вестник МГТУ ГА, 2017 Measures of noncompactness are numerical characteristics of bounded subsets of metric space, equal to zero on relatively compact subsets. The quantitative characteristic of measure of noncompactness of metric space subset was introduced by K. Kuratovskiy
N. A. Erzakova
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Existence of solutions for some classes of integro-differential equations via measure of noncompactness [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this present paper, we introduce a new measure of noncompactness on the space consisting of all real functions which are $n$ times bounded and continuously differentiable on $\mathbb{R}_+$.
Reza Allahyari +2 more
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Abstract random differential equations with state-dependent delay using measures of noncompactness [PDF]
Nonlinear AnalysisThis paper is devoted to the existence of random mild solutions for a general class of second-order abstract random differential equations with state-dependent delay.
Amel Heris +4 more
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Geometrical Coefficients and Measures of Noncompactness [PDF]
, 1992 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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On interpolation of the measure of noncompactness [PDF]
Proceedings of the Estonian Academy of Sciences. Physics. Mathematics, 2006 We revised the known results on interpolation of the measure of noncompactness and we announce a new approach to establishing the interpolation formula for the real method.
Fernando Cobos +2 more
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Regular measures of noncompactness and Ascoli–Arzelà type compactness criteria in spaces of vector-valued functions [PDF]
, 2023 In this paper we estimate the Kuratowski and the Hausdorff measures of noncompactness of bounded subsets of spaces of vector-valued bounded functions and of vector-valued bounded differentiable functions. To this end, we use a quantitative characteristic
Caponetti, D +5 more
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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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Existence Results for Fractional Integral Equations in Frechet Spaces
Journal of Mathematical Sciences and Modelling, 2022 The objective of this paper is to present results on the existence of solutions for a class of fractional integral equations in Fr\'{e}chet spaces of Banach space-valued functions on the unbounded interval.
Said Baghdad
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