A Family of Measures of Noncompactness in the Locally Sobolev Spaces and Its Applications to Some Nonlinear Volterra Integrodifferential Equations [PDF]
Journal of Mathematics, 2018 We study a new family of measures of noncompactness in the locally Sobolev space Wlocn,1(R+N), equipped with a suitable topology. As an application of the technique associated with this family of measures of noncompactness, we study the existence of ...
H. Mehravaran +2 more
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Generalized quasi-Banach sequence spaces and measures of noncompactness [PDF]
Anais da Academia Brasileira de Ciências, 2013 Given 0 < s ≤ 1 and ψ an s-convex function, s – ψ -sequence spaces are introduced. Several quasi-Banach sequence spaces are thus characterized as a particular case of s – ψ -spaces.
EDUARDO B. SILVA +2 more
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Positive solutions of fractional integral equations by the technique of measure of noncompactness [PDF]
Journal of Inequalities and Applications, 2017 In the present study, we work on the problem of the existence of positive solutions of fractional integral equations by means of measures of noncompactness in association with Darbo’s fixed point theorem. To achieve the goal, we first establish new fixed
Hemant Kumar Nashine +3 more
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Real Interpolation and Measure of Weak Noncompactness
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
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The Concept of Measures of Noncompactness in Banach Spaces
SymmetryThis article is a survey, and its aim is to provide a concise introduction to the topic of measures of noncompactness and measures of weak noncompactness in Banach spaces. These measures constitute a useful tool in nonlinear analysis, for example, in studies on the existence of solutions to nonlinear differential and integral equations.
Tomasz Zając
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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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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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Measures of noncompactness over hilbert C-modules [PDF]
, 2019 U prvom poglavlju izlaž se teorija o uniformnim prostorima i merama nekompaktnosti na metričkim i uniformnim prostorima...In the first section we present the theory on uniform spaces and measures of noncompactness in metric and uniform spaces..
Lazović, Zlatko
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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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