On the convergence of some iteration processes in uniformly convex Banach spaces

J Gwinner - Proceedings of the American Mathematical Society, 1978 - ams.org
For the approximation of fixed points of a nonexpansive operator T in a uniformly convex
Banach space E the convergence of the Mann-Toeplitz iteration ${x_ {n+ 1}}={\alpha _n} T …

A strong convergence theorem for relatively nonexpansive mappings in a Banach space

S Matsushita, W Takahashi - Journal of Approximation Theory, 2005 - Elsevier
In this paper, we prove a strong convergence theorem for relatively nonexpansive mappings
in a Banach space by using the hybrid method in mathematical programming. Using this …

[PDF][PDF] Strong convergence theorems for nonexpansive nonself-mappings and inverse-strongly-monotone mappings

H Iiduka, W Takahashi - Journal of Convex Analysis, 2004 - heldermann-verlag.de
In this paper, we introduce an iterative scheme for finding a common element of the set of
fixed points of a nonexpansive nonself-mapping and the set of solutions of the variational …

Asymptotic behavior of relatively nonexpansive operators in Banach spaces

D Butnariu, S Reich, AJ Zaslavski - Journal of Applied Analysis, 2001 - degruyter.com
Let K be a closed convex subset of a Banach space X and let F be a nonempty closed
convex subset of K. We consider complete metric spaces of self-mappings of K which fix all …

Strong convergence of an iterative algorithm involving nonlinear mappings of nonexpansive and accretive type

X Qin, SY Cho, L Wang - Optimization, 2018 - Taylor & Francis
Full article: Strong convergence of an iterative algorithm involving nonlinear mappings of
nonexpansive and accretive type Skip to Main Content Taylor and Francis Online …

[PDF][PDF] Strong convergence analysis of a hybrid algorithm for nonlinear operators in a Banach space

SY Cho - J. Appl. Anal. Comput, 2018 - jaac-online.com
STRONG CONVERGENCE ANALYSIS OF A HYBRID ALGORITHM FOR NONLINEAR
OPERATORS IN A BANACH SPACE 1. Introduction-Preliminaries Page 1 Journal of …

Approximating fixed points of non-self nonexpansive mappings in Banach spaces

N Shahzad - Nonlinear Analysis: Theory, Methods & Applications, 2005 - Elsevier
Suppose K is a nonempty closed convex nonexpansive retract of a real uniformly convex
Banach space E with P as a nonexpansive retraction. Let T: K→ E be a nonexpansive non …

[HTML][HTML] Mann and Ishikawa iterative processes for multivalued mappings in Banach spaces

B Panyanak - Computers & Mathematics with Applications, 2007 - Elsevier
Let K be a nonempty compact convex subset of a uniformly convex Banach space, and T:
K→ P (K) a multivalued nonexpansive mapping. We prove that the sequences of Mann and …

Zero point problem of accretive operators in Banach spaces

SS Chang, CF Wen, JC Yao - Bulletin of the Malaysian Mathematical …, 2019 - Springer
Splitting methods have recently received much attention due to the fact that many nonlinear
problems arising in applied areas such as image recovery, signal processing and machine …

A strong convergence theorem for the split common null point problem in Banach spaces

TM Tuyen - Applied Mathematics & Optimization, 2019 - Springer
In this paper, we study the split common null point problem. Then, using the hybrid
projection method and the metric resolvent of monotone operators, we prove a strong …