Results 11 to 20 of about 603 (180)
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
doaj +5 more sources
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
doaj +4 more sources
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
doaj +3 more sources
Mathematics, 2021 In this paper, a tripled fractional differential system is introduced as three associated impulsive equations. The existence investigation of the solution is based on contraction principle and measures of noncompactness in terms of tripled fixed point ...
Sina Etemad +3 more
doaj +3 more sources
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
doaj +2 more sources
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
doaj +2 more sources
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
openaire +4 more sources
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
doaj +2 more sources
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
doaj +1 more source
Existence of bounded solutions for second order neutral difference equations via measure of noncompactness [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this paper we analyze the existence of bounded solutions for a nonlinear second-order neutral difference equation, which is more general than other equations of this type studied recently.
Gonzalo García
doaj +2 more sources