Weak and strong convergence of splitting algorithms in Banach spaces
X Qin, SY Cho, JC Yao - Optimization, 2020 - Taylor & Francis
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[HTML][HTML] Strong convergence of generalized projection algorithms for nonlinear operators
C Klin-Eam, S Suantai, W Takahashi - Abstract and Applied Analysis, 2009 - hindawi.com
We establish strong convergence theorems for finding a common element of the zero point
set of a maximal monotone operator and the fixed point set of two relatively nonexpansive …
set of a maximal monotone operator and the fixed point set of two relatively nonexpansive …
[PDF][PDF] Strong convergence for a modified forward-backward splitting method in Banach spaces
Y Kimura, K Nakajo - J. Nonlinear Var. Anal, 2019 - jnva.biemdas.com
We propose a modified forward-backward splitting method and prove a new strong
convergence theorem of solutions to a zero problem of the sum of a monotone operator and …
convergence theorem of solutions to a zero problem of the sum of a monotone operator and …
Forward–backward splitting algorithm for fixed point problems and zeros of the sum of monotone operators
V Dadashi, M Postolache - Arabian Journal of Mathematics, 2020 - Springer
In this paper, we construct a forward–backward splitting algorithm for approximating a zero
of the sum of an α α-inverse strongly monotone operator and a maximal monotone operator …
of the sum of an α α-inverse strongly monotone operator and a maximal monotone operator …
Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces
S Matsushita, W Takahashi - Fixed Point Theory and Applications, 2004 - Springer
We first introduce an iterative sequence for finding fixed points of relatively nonexpansive
mappings in Banach spaces, and then prove weak and strong convergence theorems by …
mappings in Banach spaces, and then prove weak and strong convergence theorems by …
Generalized nonexpansive mappings and a proximal-type algorithm in Banach spaces
T Ibaraki, W Takahashi - Contemp. Math, 2010 - books.google.com
In this paper, we first study sunny generalized nonexpansive retracts in Banach spaces. In
particular, we show that the set of fixed points of a generalized nonexpansive mapping is a …
particular, we show that the set of fixed points of a generalized nonexpansive mapping is a …
[HTML][HTML] Weak convergence of a Mann-like algorithm for nonexpansive and accretive operators
Weak convergence of a Mann-like algorithm for nonexpansive and accretive operators |
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Strong convergence of an iterative method with perturbed mappings for nonexpansive and accretive operators
LC Ceng, HK Xu, JC Yao - Numerical Functional Analysis and …, 2008 - Taylor & Francis
A new iterative method for finding a zero of m-accretive operators is proposed. This method,
involving a so-called perturbed mapping, provides a way to construct sunny nonexpansive …
involving a so-called perturbed mapping, provides a way to construct sunny nonexpansive …
[PDF][PDF] Strong convergence theorems by hybrid methods for maximal monotone operator and relatively nonexpansive mappings in Banach spaces
G Inoue, W Takahashi… - Journal of Convex …, 2009 - heldermann-verlag.de
In this paper, we prove strong convergence theorems for finding a common element of the
zero point set of a maximal monotone operator and the fixed point set of a relatively …
zero point set of a maximal monotone operator and the fixed point set of a relatively …
Strong convergence theorem for a common point of solution of variational inequality and fixed point problem
We introduce an iterative process which converges strongly to a common point of solution of
variational inequality problem for γ-inverse strongly monotone mapping and fixed point of …
variational inequality problem for γ-inverse strongly monotone mapping and fixed point of …
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