Results 81 to 90 of about 173,323,789 (179)
Note on measures of noncompactness in Banach sequence spaces
, 1990 The notion of a measure of noncompactness turns out to be a very important and useful tool in many branches of mathematical analysis. The current state of this theory and its applications are presented in the books [1,4,11] for example.
Martinón Cejas, Antonio, Banas, Józef
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Measures of noncompactness and their applications
, 2021 The measures of noncompactness are very useful tools in the theory of operatorequations in Banach spaces. In particular, the fixed point theorems derived fromthem have many important results. In this study, we state a general information onmeasures of noncompactness and fixed point theory. In addition, applications fromvarious topics are presented.
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Some remarks on measures of noncompactness and retractions onto spheres
, 2007 Some ways to obtain upper and lower bounds for measures of noncompactness of retractions onto spheres in infinite-dimensional normed spaces are discussed. Moreover, relations with 0-epi maps are revealed and the extension of condensing maps on spheres is
Kim, In-Sook, Väth, Martin
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Abstract and Applied Analysis, 2011 We study the existence of mild solutions of a class of neutral delay integrodifferential equations with fractional order and nonlocal conditions in a Banach space X. An existence result on the mild solution is obtained by using the theory of the measures
Fang Li, Gaston M. N'Guérékata
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Advances in nonlinear analysis via the concept of measure of noncompactness
, 2017 This book offers a comprehensive treatment of the theory of measures of noncompactness. It discusses various applications of the theory of measures of noncompactness, in particular, by addressing the results and methods of fixed-point theory. The concept
Jleli, Mohamed +5 more
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Journal of Innovative Applied Mathematics and Computational Sciences, 2022 The aim of this work is to study the existence of solutions to a class of fractional differential equations with a mixed of fractional integral boundary conditions involving the Hilfer fractional derivative.
Maamar Benbachir, Abdelatif Boutiara
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Asymptotic behavior of solutions to functional integral equation with deviating arguments
Electronic Journal of Differential Equations, 2008 This article presents results on the existence and asymptotic behavior of solutions of a functional integral equation with deviating arguments. The proof of our main result uses the classical Schauder fixed point theorem and the technique of measures
Krishnan Balachandran, M. Diana Julie
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Electronic Journal of Differential Equations, 2017 The aim of this article is to study the existence of solutions for infinite systems of differential equations. We look for solutions in Banach tempered sequence spaces, using techniques associated with measures of noncompactness, and results from ...
Jozef Banas, Monika Krajewska
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Existence and asymptotic stability of continuous solutions for integral equations of product type
Journal of Innovative Applied Mathematics and Computational Sciences, 2021 In this paper, we study the existence of a continuous solution for a nonlinear integral equation of a product type. The analysis uses the techniques of measures of noncompactness and Darbo's fixed point theorem.
Mahmoud Bousselsal, Azzeddine Bellour
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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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