Results 11 to 20 of about 102 (88)
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaIn this paper, we present some results about the aproximation of fixed points of nonexpansive and enriched nonexpansive operators. In order to approximate the fixed points of enriched nonexpansive mappings, we use the Krasnoselskii-Mann iteration for ...
Socaciu Liviu-Ignat
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Inertial Krasnoselskii-Mann Iterations
Set-Valued and Variational Analysis, 2017 AbstractWe establish the weak convergence of inertial Krasnoselskii-Mann iterations towards a common fixed point of a family of quasi-nonexpansive operators, along with estimates for the non-asymptotic rate at which the residuals vanish. Strong and linear convergence are obtained in the quasi-contractive setting.
Juan José Maulén +2 more
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A Krasnoselskii–Ishikawa Iterative Algorithm for Monotone Reich Contractions in Partially Ordered Banach Spaces with an Application [PDF]
Mathematics, 2021 Iterative algorithms have been utilized for the computation of approximate solutions of stationary and evolutionary problems associated with differential equations. The aim of this article is to introduce concepts of monotone Reich and Chatterjea nonexpansive mappings on partially ordered Banach spaces.
Nawab Hussain +2 more
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Acta Universitatis Sapientiae, Mathematica, 2022 Abstract This paper studies the existence of periodic solutions of a third order iterative differential equation. The main tool used here is Krasnoselskii-Burton’s fixed point theorem dealing with a sum of two mappings, one is a large contraction and the other is compact.
Guerfi Abderrahim, Ardjouni Abdelouaheb
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Convergence of Krasnoselskii-Mann iterations of nonexpansive operators
Mathematical and Computer Modelling, 2000 This article deals with nonexpansive operators in hyperbolic metric spaces. A metric space \((X,\rho)\) is called hyperbolic if (a) \(X\) contains a family \(M\) of metric lines such that for each pair of \(x,y\in X\), \(x\neq y\) there is a unique metric line in \(M\) which passes through \(x\) and \(y\); metric line, by definition, is the image of a ...
Reich, S., Zaslavski, A. J.
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Modified Krasnoselskii–Mann iterative algorithm for nonexpansive mappings in Banach spaces [PDF]
Arabian Journal of Mathematics, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Properties of the solutions of those equations for which the Krasnoselskii iteration converges [PDF]
Carpathian Journal of Mathematics, 2012 Let (X, +, R, →) be a vectorial L-space, Y ⊂ X a nonempty convex subset of X and f : Y → Y be an operator with Ff := {x ∈ Y | f(x) = x} 6= ∅. Let 0 < λ < 1 and let fλ be the Krasnoselskii operator corresponding to f, i.e., fλ(x) := (1 − λ)x + λf(x), x ∈ Y. We suppose that fλ is a weakly Picard operator (see I. A.
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A solution of delay differential equations via Picard–Krasnoselskii hybrid iterative process
Arabian Journal of Mathematics, 2017 The authors compare the convergence rates of a hybrid Picard-Krasnoselskii scheme with some iterative schemes for fixed points of a contractive mapping in a normed linear space. Under the assumption that the Picard, Krasnoselskii, Mann, Ishikawa and hybrid Picard-Krasnoselskii schemes converge to the same fixed point of a self contractive mapping of a ...
Okeke, Godwin Amechi, Abbas, Mujahid
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Notes on Knaster-Tarski Theorem versus Monotone Nonexpansive Mappings
Moroccan Journal of Pure and Applied Analysis, 2018 The purpose of this note is to discuss the recent paper of Espínola and Wiśnicki about the fixed point theory of monotone nonexpansive mappings. In their work, it is claimed that most of the fixed point results of this class of mappings boil down to the ...
Khamsi Mohamed Amine
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