Results 21 to 30 of about 505,478 (275)
The equivalence between Mann and implicit Mann iterations [PDF]
Journal of Mathematical Inequalities, 2007 We shall prove the equivalence bewteen the convergences of Mann and implicit Mann iterations dealing with various classes of non-Lipschitzian operators.
B. E. Rhoades, Ştefan M. Şoltuz
openaire +1 more source
Modelling iteration in engineering design [PDF]
, 2012 This paper examines design iteration and its modelling in the simulation of New Product Development (NPD) processes. A framework comprising six perspectives of iteration is proposed and it is argued that the importance of each perspective depends upon ...
Eckert, C. M. +2 more
core +7 more sources
Uniform asymptotic regularity for Mann iterates
Journal of Mathematical Analysis and Applications, 2002 In a previous paper we obtained an effective quantitative analysis of a theorem due to Borwein, Reich and Shafrir on the asymptotic behavior of general Krasnoselski-Mann iterations for nonexpansive self-mappings of convex sets C in arbitrary normed spaces.
Borwein, Jonathan +2 more
openaire +3 more sources
On some Mann’s type iterative algorithms [PDF]
Fixed Point Theory and Applications, 2015 AbstractFirst we present some interesting variants of Mann’s method. In the last section, we show that many existing results in the literature are concrete realizations of our general scheme under varying assumptions on the coefficients.
Luigi Muglia +4 more
openaire +4 more sources
Strong convergence of the Mann iteration for alpha-demicontractive mappings [PDF]
, 2011 The paper deals with strong convergence properties of the Mann iteration. A new class of demicontractive mappings (called alpha-demicontractive) is introduced for which the strong convergence of the computed sequence is assured.
Maruster, Laura +4 more
core +1 more source
Solution of nonlinear equations using Mann iteration [PDF]
, 2014 In this paper, we recall some basic concepts, properties of the spaces and some types of iteration approaches. Also, we give algorithm - fixed point iteration scheme and examples.
core +1 more source
A New Iterative Scheme of Modified Mann Iteration in Banach Space [PDF]
Abstract and Applied Analysis, 2014 We introduce the modified iterations of Mann's type for nonexpansive mappings and asymptotically nonexpansive mappings to have the strong convergence in a uniformly convex Banach space. We study approximation of common fixed point of asymptotically nonexpansive mappings in Banach space by using a new iterative scheme.
Jinzuo Chen, Dingping Wu, Caifen Zhang
openaire +3 more sources
The equivalence between the Krasnoselskij, Mann and Ishikawa iterations [PDF]
Journal of Numerical Analysis and Approximation Theory, 2006 We shall prove that Krasnoselskij iteration converges if and only if Mann-Ishikawa iteration converges, for certain classes of strongly pseudocontractive mappings.
B. E. Rhoades, Ştefan M. Şoltuz
doaj +1 more source
Polynomiography via Ishikawa and Mann Iterations [PDF]
, 2012 The aim of this paper is to present some modifications of the complex polynomial roots finding visualization process. In this paper Ishikawa and Mann iterations are used instead of the standard Picard iteration. The name polynomiography was introduced by Kalantari for that visualization process and the obtained images are called polynomiographs ...
Wieslaw Kotarski +2 more
openaire +4 more sources