Results 81 to 90 of about 1,168,012 (202)

A result on segmenting Jungck–Mann iterates [PDF]

, 2008
summary:In this paper, following the concepts in [5, 7], we shall establish a convergence result in a uniformly convex Banach space using the Jungck–Mann iteration process introduced by Singh et al [13] and a certain general contractive condition.
Olatinwo, Memudu Olaposi
core  

Some convergence, stability and data dependency results for a Picard-S iteration method of quasi-strictly contractive operators [PDF]

, 2019
summary:We study some qualitative features like convergence, stability and data dependency for Picard-S iteration method of a quasi-strictly contractive operator under weaker conditions imposed on parametric sequences in the mentioned method.
Gürsoy, Faik, Ertürk, Müzeyyen
core   +1 more source

© Hindawi Publishing Corp. ON THE EQUIVALENCE OF MANN AND ISHIKAWA ITERATION METHODS

, 2001
We show that certain Mann and Ishikawa iteration schemes are equivalent for various classes of functions. 2000 Mathematics Subject Classification: 47H10.
B. E. Rhoades, Stefan M. Soltuz
core  

A Modified Mann Iteration by Boundary Point Method for Finding Minimum-Norm Fixed Point of Nonexpansive Mappings

, 2013
Let be a real Hilbert space and a closed convex subset. Let be a nonexpansive mapping with the nonempty set of fixed points . Kim and Xu (2005) introduced a modified Mann iteration , , , where is an arbitrary (but fixed) element, and and are two ...
Songnian He, Wenlong Zhu
semanticscholar   +1 more source

Construction of Fixed Points by Some Iterative Schemes

Fixed Point Theory and Applications, 2009
We obtain strong convergence theorems of two modifications of Mann iteration processes with errors in the doubly sequence setting. Furthermore, we establish some weakly convergence theorems for doubly sequence Mann's iteration scheme with errors in a
A. El-Sayed Ahmed, A. Kamal
doaj   +1 more source

A modified Mann iteration for zero points of accretive operators

, 2013
A modified Mann iteration with computational errors is investigated. A strong convergence theorem for zero points of an m-accretive operator is established in a Banach space.MSC:47H06, 47H09, 47J25, 65J15.
Jianmin Song, Minjiang Chen
semanticscholar   +1 more source

Strong Convergence Theorems for Variational Inequalities and Common Fixed-Point Problems Using Relaxed Mann Implicit Iteration Methods

, 2019
Mann-like iteration methods are significant to deal with convex feasibility problems in Banach spaces. We focus on a relaxed Mann implicit iteration method to solve a general system of accretive variational inequalities with an asymptotically ...
Meijuan Shang, Lu-Chuan Ceng
core   +1 more source

On a new approach of enriched operators

Heliyon
We establish the existence and uniqueness of fixed points of generalized contractions in the setting of Banach spaces and prove the convergence of Mann iteration for this general class of mappings.
Teodor Turcanu, Mihai Postolache
doaj   +1 more source

Mann-Ishikawa iterations and Mann-Ishikawa iterations with errors are equivalent models

Mathematical Communications, 2003
Mann-Ishikawa iterations and Mann-Ishikawa iterations with errors are equivalent models for several classes of operators.
openaire   +1 more source

A Picard-Mann hybrid iterative process [PDF]

Fixed Point Theory and Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source