Results 31 to 40 of about 175,704,569 (186)
Cauchy’s problem and measure of noncompactness
, 2023 In This Work, we study the notion the measure of noncompactness and we applied to the fractional differential equations on the goal to proof the existence of solution using fixed point theory combined with the Kuratouskii measure of ...
Encadreur: GAGUI, Bachir +1 more
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Compact Operators on the Sets of Fractional Difference Sequences
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 The sets of fractional difference sequences have been studied in the literature recently. In this work, some identities or estimates for the operator norms and the measure of noncompactness of certain operators on difference sets of sequences of ...
Faruk Özger
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A POINT OF VIEW ON MEASURES OF NONCOMPACTNESS
Demonstratio Mathematica, 1993 The author presents a general scheme of construction of measures of noncompactness and an example of application in the theory of nonlinear differential equations.
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The class of F-contraction mappings with a measure of noncompactness
, 2017 In this chapter we review a class of contraction conditions, which are largely used to obtain interesting generalizations of the Banach fixed-point theorem in various abstract settings.
Francesca Vetro +3 more
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On modulus of noncompact convexity for a strictly minimalizable measure of noncompactness
Gulf Journal of Mathematics, 2014 In this paper we consider modulus of noncompact convexity ΔX,φ associated with the strictly minimalizable measure of noncompactness φ. We also give some its properties and show its continuity on the interval [0, φ(BX)).
Rekic-Vukovic, Amra +2 more
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On measure of noncompactness and application to global attractors of operator semigroups
, 2021 Based on the recent development of the theory of measures of noncompactness, we rst show a representation theorem of measures of noncompactness dened on Banach spaces.
Zheng, Zheming +4 more
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A Generalization of the Meir-Keeler Condensing Operators and its Application to Solvability of a System of Nonlinear Functional Integral Equations of Volterra Type [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, we generalize the Meir-Keeler condensing operators via a concept of the class of operators $ O (f;.)$, that was given by Altun and Turkoglu [4], and apply this extension to obtain some tripled fixed point theorems. As an application of
Shahram Banaei, Mohammad Bagher Ghaemi
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Remarks on Various Measures of Noncompactness
Journal of Mathematical Analysis and Applications, 1993 Let \(\Omega\) be a bounded set in a metric space \(M\). Denote \(\alpha(\Omega)=\inf\{d>0:\Omega\text{ can be covered by a finite number of sets of diameter at most }d\},\) \(\beta(\Omega)=\inf\{d>0:\Omega\text{ has a finite } d\text{-net in }M\},\) \(\delta(\Omega)=\sup\{\alpha(\Omega'):\Omega'\subseteq\Omega\text{ and } \Omega'\text{ is an } \alpha ...
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Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
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Tripled fixed point results via a measure of noncompactness with applications
, 2021 In this paper, we create tripled fixed point outcomes via a subjective measure of noncompactness in the sense of Banas and Goebel. Furthermore, we introduce some applications of the measure of noncompactness notion to functional equations including ...
Arab, Reza +2 more
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