Results 61 to 70 of about 1,168,012 (202)

Mann Iteration Processes on Uniform Convex n-Banach Space

open access: yesIraqi Journal of Science, 2019
Let Y be a"uniformly convex n-Banach space, M be a nonempty closed convex subset of Y, and S:M→M be adnonexpansive mapping. The purpose of this paper is to study some properties of uniform convex set that help us to develop iteration techniques ...
M. M. Hamed, Z. Z. Jamil
semanticscholar   +1 more source

Convergence theorems of modified Mann iterations [PDF]

open access: yesFixed Point Theory and Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Jinzuo, Wu, Dingping
openaire   +1 more source

A remark concerning the paper "An equivalence between the convergence of Ishikawa, Mann and Picard iterations"

open access: yesJournal of Numerical Analysis and Approximation Theory, 2004
In this note we show that a result previously obtained by us [An equivalence between the convergences of Ishikawa, Mann and Picard iterations, Math. Commun., 8, pp.~15--22, 2003], holds under weaker assumptions.
Ştefan M. Şoltuz
doaj   +2 more sources

Approximation of Fixed Points for Mean Nonexpansive Mappings in Banach Spaces

open access: yesJournal of Function Spaces, 2021
In this paper, we establish weak and strong convergence theorems for mean nonexpansive maps in Banach spaces under the Picard–Mann hybrid iteration process.
Junaid Ahmad   +3 more
doaj   +1 more source

Fixed Point Theorems for Mann’s Iteration Scheme in Convex Gb-Metric Spaces with an Application

open access: yes, 2023
In this paper, we present a series of fixed point results for Mann’s iteration scheme in the framework of Gb-metric spaces. First, we introduce the concept of convex Gb-metric space by means of a convex structure and Mann’s iteration ...
Yunan Cui, Dong Ji, Chaobo Li
core   +1 more source

On the Mann-type iteration and the convex feasibility problem

open access: yes, 2008
The weak and strong convergence of a sequence generated by a Mann-type iteration are investigated in the frame of a real Hilbert space.
Popirlan, Cristina, Măruşter, Ştefan
core   +1 more source

Mandelbrot Sets and Julia Sets in Picard-Mann Orbit

open access: yesIEEE Access, 2020
The purpose of this paper is to introduce the Mandelbrot and Julia sets by using Picard-Mann iteration procedure. Escape criteria is established which plays an important role to generate Mandelbrot and Julia sets.
Cui Zou   +4 more
doaj   +1 more source

On the Stability of Krasnosel'ski\vı-Mann Iterations

open access: yes, 2022
Firstly, we invoke the weak convergence (resp. strong convergence) of translated basic methods involving nonexpansive operators to establish the weak convergence (resp. strong convergence) of the associated method with both perturbation and approximation.
openaire   +2 more sources

Convergence Rate of Some Two-Step Iterative Schemes in Banach Spaces

open access: yesJournal of Mathematics, 2016
This article proves some theorems to approximate fixed point of Zamfirescu operators on normed spaces for some two-step iterative schemes, namely, Picard-Mann iteration, Ishikawa iteration, S-iteration, and Thianwan iteration, with their errors.
O. T. Wahab   +3 more
doaj   +1 more source

Hybrid and Relaxed Mann Iterations for General Systems of Variational Inequalities and Nonexpansive Mappings

open access: yesAbstract and Applied Analysis, 2013
We introduce hybrid and relaxed Mann iteration methods for a general system of variational inequalities with solutions being also common solutions of a countable family of variational inequalities and common fixed points of a countable family of ...
L. C. Ceng   +3 more
doaj   +1 more source

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