Results 61 to 70 of about 1,168,012 (202)
Mann Iteration Processes on Uniform Convex n-Banach Space
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
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Convergence theorems of modified Mann iterations [PDF]
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Chen, Jinzuo, Wu, Dingping
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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
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Approximation of Fixed Points for Mean Nonexpansive Mappings in Banach Spaces
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
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Fixed Point Theorems for Mann’s Iteration Scheme in Convex Gb-Metric Spaces with an Application
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
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On the Mann-type iteration and the convex feasibility problem
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
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Mandelbrot Sets and Julia Sets in Picard-Mann Orbit
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
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On the Stability of Krasnosel'ski\vı-Mann Iterations
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.
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Convergence Rate of Some Two-Step Iterative Schemes in Banach Spaces
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
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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
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