Results 71 to 80 of about 1,168,012 (202)

FIBONACCI–MANN ITERATION FOR MONOTONE ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

, 2017
We extend the results of Schu [‘Iterative construction of fixed points of asymptotically nonexpansive mappings’, J. Math. Anal. Appl. 158 (1991), 407–413] to monotone asymptotically nonexpansive mappings by means of the Fibonacci–Mann iteration process $$
M. Alfuraidan, M. Khamsi
semanticscholar   +1 more source

Some results about Krasnosel'skiĭ-Mann iteration process

, 2016
We introduce a Mann type iteration method and give a result about strongly convergence of this iteration method to a fixed point of nonexpansive mappings on Banach spaces.
H. Afshari, H. Aydi
semanticscholar   +1 more source

Mann iteration process for monotone nonexpansive mappings

, 2015
Let (X,∥⋅∥)$(X,\|\cdot\|)$ be a Banach space. Let C be a nonempty, bounded, closed, and convex subset of X and T:C→C$T: C \rightarrow C$ be a monotone nonexpansive mapping. In this paper, it is shown that a technique of Mann which is defined by xn+1=tnT(
B. B. Bin Dehaish, M. Khamsi
semanticscholar   +1 more source

The Mann-Ishikawa iterations and the Mann-Ishikawa iterations with errors are equivalent models dealing with a non-Lipschitzian map

Journal of Numerical Analysis and Approximation Theory, 2005
The Mann-Ishikawa iterations and the Mann-Ishikawa iterations with errors are equivalent models for several classes of non-Lipschitzian operators.
B. E. Rhoades, Ştefan M. Şoltuz
openaire   +3 more sources

Modified Jungck Mann and Modified Jungck Ishikawa Iteration Schemes For Zamfirescue Opertor

, 2020
In this paper, we have modified Jungck Mann and Jungck Ishikawa iteration schemes, and their convergence has been proved in the arbitrary Banach space. Comparison of these modified iteration schemes with Jungck Mann and Jungck Ishikawa, iteration schemes
Muhammad Iqbal; Department of Mathematics, Lahore Leads University, Lahore, Muhammad Saqib; Department of Mathematics, Govt. Degree College Kharian   +1 more
core  

Mann iteration with errors for strictly pseudo-contractive mappings.

, 2008
It is well known that any fixed point of a Lipschitzian strictly pseudo-contractive self mapping of a nonempty closed convex and bounded subset K of a Banach space X is unique [6] and may be norm approximated by an iterative procedure.
Olaleru, JO, AA Mogbademu, JO Olaleru, Mogbademu, AA   +3 more
core   +1 more source

On the convergence and data dependence results for multistep Picard-Mann iteration process in the class of contractive-like operators

, 2016
In this paper, we introduce a new iteration process and prove the convergence of this iteration process to a fixed point of contractive-like operators. We also present a data dependence result for such mappings.
I. Yildirim, M. Abbas, N. Karaca
semanticscholar   +1 more source

Ishikawa and Mann Iteration Methods with Errors for Nonlinear Equations of the Accretive Type

, 1997
LetEbe anarbitrary Banach spaceandT:E→Ea Lipschitz strongly accretive operator. It is proved that for a givenf∈E, the Ishikawa and the Mann iteration methods with errors introduced by18converge strongly to the solution of the equationTx=f.
Osilike, M.O.
core   +1 more source

Strong convergence of the Mann iteration for demicontractive mappings

, 2015
The strong convergence of the Mann iteration for a demicontractive mapping T : C → C, where C is a subset of a real Hilbert space, is investigated. The main result states that if T is demicontractive and Fréchet differentiable at some fixed point of T ...
Ş. Măruşter
semanticscholar   +1 more source

A note on segmenting Mann iterates

Journal of Mathematical Analysis and Applications, 1972
W. R. Mann [5] introduced the following general iterative procedure: Suppose A = (a& is an infinite, lower triangular, regular row-stochastic matrix. If E is a closed convex subset of a Banach space and T is a continuous mapping of E into itself and xi E E, then M(x, , A, T) is the process defined by ...
openaire   +1 more source