[HTML][HTML] Convergence results of forward–backward method for a zero of the sum of maximally monotone mappings in Banach spaces

GB Wega, H Zegeye - Computational and Applied Mathematics, 2020 - Springer
The purpose of this paper is to study a forward–backward algorithm for approximating a zero
of the sum of maximally monotone mappings in the setting of Banach spaces. Under some …

Strong convergence studied by a hybrid type method for monotone operators in a Banach space

H Iiduka, W Takahashi - Nonlinear Analysis: Theory, Methods & …, 2008 - Elsevier
In this paper, we study a strong convergence for monotone operators. We first introduce the
hybrid type algorithm for monotone operators. Next, we obtain a strong convergence …

[PDF][PDF] A strong convergence theorem for a proximal-type algorithm in reflexive Banach spaces

S Reich, S Sabach - J. Nonlinear Convex Anal, 2009 - num.math.uni-goettingen.de
We establish a strong convergence theorem for a proximal# type algorithm which
approximates (common) zeroes of maximal monotone opera# tors in reflexive Banach …

On hybrid proximal-type algorithms in Banach spaces

LC Ceng, A Petruşel, SY Wu - Taiwanese Journal of Mathematics, 2008 - projecteuclid.org
ON HYBRID PROXIMAL-TYPE ALGORITHMS IN BANACH SPACES LC Ceng1, A. Petrusel2*
and SY Wu3 Let C be a nonempty closed convex s Page 1 TAIWANESE JOURNAL OF …

Composite iterative schemes for maximal monotone operators in reflexive Banach spaces

P Cholamjiak, YJ Cho, S Suantai - Fixed Point Theory and Applications, 2011 - Springer
In this article, we introduce composite iterative schemes for finding a zero point of a finite
family of maximal monotone operators in a reflexive Banach space. Then, we prove strong …

Convergence theorems for maximal monotone operators and fixed point problems in Banach spaces

Y Shehu - Applied Mathematics and Computation, 2014 - Elsevier
Our purpose in this paper is to prove strong convergence theorems for approximation of a
common zero of a finite family of maximal monotone operators which is also a fixed point for …

Strong convergence theorems for resolvents of maximal monotone operators in Banach spaces

S Ohsawa, W Takahashi - Archiv der Mathematik, 2003 - Springer
Strong convergence theorems for resolvents of maximal monotone operators in Banach
spaces Page 1 Arch. Math. 81 (2003) 439–445 0003–889X/03/040439–07 DOI 10.1007/s00013-003-0508-7 …

OUTER APPROXIMATION METHOD FOR ZEROS OF SUM OF MONOTONE OPERATORS AND FIXED POINT PROBLEMS IN BANACH SPACES

HA Abass, AA Mebawondu… - Nonlinear Functional …, 2021 - nfaa.kyungnam.ac.kr
In this paper, we investigate a hybrid algorithm for finding zeros of the sum of maximal
monotone operators and Lipschitz continuous monotone operators which is also a common …

Modified proximal-point algorithm for maximal monotone operators in Banach spaces

L Li, W Song - Journal of Optimization Theory and Applications, 2008 - Springer
We introduce an iterative sequence for finding the solution to 0∈ T (v), where T: E⇉ E* is a
maximal monotone operator in a smooth and uniformly convex Banach space E. This …

Two strong convergence theorems for a proximal method in reflexive Banach spaces

S Reich, S Sabach - Numerical Functional Analysis and …, 2010 - Taylor & Francis
Full article: Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach
Spaces Skip to Main Content Taylor and Francis Online homepage Taylor and Francis Online …