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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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Coupled measure of noncompactness and functional integral equations [PDF]
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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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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A New Survey of Measures of Noncompactness and Their Applications [PDF]
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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Carathéodory solutions of Sturm-Liouville dynamic equation with a measure of noncompactness in Banach spaces [PDF]
Open Mathematics, 2015 In this paper, we present the existence result for Carathéodory type solutions for the nonlinear Sturm- Liouville boundary value problem (SLBVP) in Banach spaces on an arbitrary time scale.
Yantir Ahmet +2 more
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Nonlinear Analysis, 2022 In this paper, we deal with the existence of solutions for a coupled system of integral equations in the Cartesian product of weighted Sobolev spaces E = Wω1,1 (a,b) x Wω1,1 (a,b).
Taqi A.M. Shatnawi +3 more
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Measure of Noncompactness for Compact Matrix Operators on Some BK Spaces [PDF]
Journal of Function Spaces, 2014 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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Positive solutions of fractional integral equations by the technique of measure of noncompactness. [PDF]
J Inequal Appl, 2017 Nashine HK +3 more
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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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