[PDF][PDF] Iterative approximation of fixed points

V Berinde - 2007 - academia.edu
A possible starting point in judging the merits of the book would be the idea that it is a drop
in an ocean of intensive and extensive research work. Consequently, our aim was to …

[图书][B] Some geometric properties of Banach spaces

C Chidume - 2009 - Springer
In the first part of this monograph (Chapters 1 to 5), we explore selected geometric
properties of Banach spaces that will play crucial roles in our study of iterative algorithms for …

The generalized decomposition theorem in Banach spaces and its applications

W Song, Z Cao - Journal of Approximation Theory, 2004 - Elsevier
In this paper, we first give a simple proof of the decomposition theorem in Alber (Field Inst.
Comm. 25 (2000) 77) and then present a new decomposition of arbitrary elements in …

Strong convergence theorems for firmly nonexpansive-type mappings and equilibrium problems in Banach spaces

J Chen, Z Wan, Y Zou - Optimization, 2013 - Taylor & Francis
In this article, we propose and investigate several iterative methods for approximating fixed
points of a firmly nonexpansive-type mapping and for finding a common element of the set of …

The projection methods in countably normed spaces

N Faried, HA El-Sharkawy - Journal of Inequalities and Applications, 2015 - Springer
It is well known that a normed space is uniformly convex (smooth) if and only if its dual space
is uniformly smooth (convex). We extend the notions of uniform convexity (smoothness) from …

[PDF][PDF] A Survey on Approximation of Common Fixed Point of Countably Infinite Family of Nonexpansive Mappings

AG Okonkwo, NN Araka, KO Ibeh - International Journal of Mathematical …, 2022 - ajol.info
In this paper, strong convergence theorems for approximation of a common fixed point of
countably family of nonexpansive mappings in strictly convex reflexive real Banach space …

Strong approximation of the solutions of a system of operator equations in Hilbert spaces

GL Karakostas - Journal of Difference Equations and Applications, 2006 - Taylor & Francis
We give sharp conditions for the strong approximation of the solutions of a system of the
form by the solutions of a system of difference equations of the form where F i are monotone …

Banach 空间中相对非扩张映射的强收敛定理

刘英, 陈永利 - 河北大学学报(自然科学版), 2012 - xbzrb.hbu.edu.cn
Banach空间中相对非扩张映射的强收敛定理 Page 1 2012年 第32卷第2期 河北大学学报(自然科学
版) Journal of Hebei University(Natural Science Edition) 2012 V01.32 No.2 Banach空间中相对非 …

Convergence theorems for common fixed points of nonself asymptotically nonextensive mappings

Y Liu - Journal of Optimization Theory and Applications, 2014 - Springer
Convergence Theorems for Common Fixed Points of Nonself Asymptotically Nonextensive
Mappings | SpringerLink Skip to main content Advertisement SpringerLink Log in Menu Find a …

Generalized projection and iterative methods for approximating fixed points of asymptotically weakly suppressive operators

LC Ceng, S Huang, A Petrusel - Taiwanese Journal of …, 2010 - projecteuclid.org
Let $ C $ be a nonempty closed convex proper subset of a real uniformly convex and
uniformly smooth Banach space $ E $, let $ S: C\to C $ be a relatively nonexpansive …