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Measures of noncompactness on w-distance spaces [PDF]
Mathematica Moravica, 2021 The aim of this paper is to provide a new framework for the study of measures of noncompactness in generalized metric spaces. Firstly, we introduce the notion of w-measure of noncompactness on metric spaces with a w-distance and extend the diameter and ...
Kostić Aleksandar
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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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Journal of Inequalities and Applications, 2023 In this manuscript, we study the existence and uniqueness of solutions for a new neutral hybrid nonlinear differential equation in the context of a fractional generalized operator in the sense of ψ-Caputo.
Naas Adjimi +5 more
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Existence and Uniqueness for a Class of SPDEs Driven by L\'{e}vy Noise in Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2021 The present paper seeks to prove the existence and uniqueness of solutions to stochastic evolution equations in Hilbert spaces driven by both Poisson random measure and Wiener process with non-Lipschitz drift term.
Majid Zamani +2 more
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Coupled measure of noncompactness and functional integral equations
Open Mathematics, 2022 The aim of this article is to study the results of the fixed-point in coupled and tripled measure of noncompactness (MNC). We will use the technique of MNC for coupled and tripled MNC.
Hosseinzadeh Hasan +3 more
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A New Survey of Measures of Noncompactness and Their Applications
Axioms, 2022 We present a survey of the theory of measures of noncompactness and discuss some fixed point theorems of Darbo’s type. We apply the technique of measures of noncompactness to the characterization of classes of compact operators between certain sequence ...
Moosa Gabeleh +3 more
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MEASURES OF NONCOMPACTNESS IN ULTRAPRODUCTS [PDF]
Bulletin of the Australian Mathematical Society, 2009 AbstractWe investigate the connection between measures of noncompactness of a bounded subset of a given Banach space and the corresponding measures of noncompactness of an ultrapower of this subset. The Kuratowski, Hausdorff and separation measures of noncompactness are considered. We prove that in the first two cases the measures of a subset are equal
WIESŁAWA KACZOR +3 more
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Mathematics, 2020 Under the idea of a measure of noncompactness, some fixed point results are proposed and a generalization of Darbo’s fixed point theorem is given in this manuscript.
Hasanen A. Hammad, Amal A. Khalil
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Best proximity point results and application to a system of integro-differential equations
Advances in Difference Equations, 2021 In this work, we solve the system of integro-differential equations (in terms of Caputo–Fabrizio calculus) using the concepts of the best proximity pair (point) and measure of noncompactness.
Anupam Das +3 more
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Solvability of functional-integral equations (fractional order) using measure of noncompactness
Advances in Difference Equations, 2020 We investigate the solutions of functional-integral equation of fractional order in the setting of a measure of noncompactness on real-valued bounded and continuous Banach space.
Reza Arab +3 more
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