Results 71 to 80 of about 316 (157)

Strong convergence theorems for a semigroup of asymptotically nonexpansive mappings

Mathematical and Computer Modelling, 2011
The authors consider a strongly continuous semigroup \(T(t)\), \(t\geq 0\), of asymptotically nonexpansive operators on a closed convex subset \(K\) of a real Banach space. The set of common fixed points of the semigroup \(T(t)\) is assumed to be nonempty. Under certain assumptions, the authors establish that the implicit and explicit sequences \(u_n\)
Habtu Zegeye, Naseer Shahzad, Onkabetse A. Daman   +2 more
openaire   +2 more sources

Rates of asymptotic regularity for Halpern iterations of nonexpansive mappings

J. Univers. Comput. Sci., 2007
in C.S. Calude, G. Stefanescu, and M. Zimand (eds.), Combinatorics and Related Areas.
openaire   +3 more sources

Strong and weak convergence theorems for asymptotically nonexpansive mappings

Journal of Mathematical Analysis and Applications, 2003
This article deals with iterations \(x_n\) defined by the formula \[ x_{n+1} = P(((1 - \alpha_n)x_n + \alpha_nT(PT)^{n-1}x_n), \quad n = 1,2,\ldots, \;x_1 \in K \] where \(K\) is a nonempty closed convex nonexpansive retract in a real uniformly convex Banach space \(E\), \(P\) a nonexpansive retraction, \(T: \;K \to E\) an asymptotically nonexpansive ...
Chidume, C.E., Ofoedu, E.U., Zegeye, H.
openaire   +1 more source

DELTA-CONVERGENCE FOR ASYMPTOTICALLY NONEXPANSIVE MAPPING IN CAT(K) SPACE THROUGH MODIFIED S- ITERATION PROCEDURE

, 2016
In this paper we establish convergence theorem for asymptotically non expansive mapping in CAT () space and will approximate fixed point through modified S-iteration procedure. Keywords: Fixed point ,Asymptotically nonexpansive  mapping, -convergence,CAT
Rajput, Anil, Tenguria, Abha, Pandey, Sanchita   +2 more
core  

Iterative construction of fixed points of asymptotically nonexpansive mappings

, 1991
Let T be a completely continuous and asymptotically nonexpansive self-mapping of a nonempty closed bounded and convex subset of a Hilbert space. Then, under certain conditions, the sequence defined by xn + 1:= αnTn(xn) + (1 − αn) x n converges strongly ...
Schu, Jürgen
core   +1 more source

Strongly convergent approximations to fixed points of total asymptotically nonexpansive mappings [PDF]

, 2008
In this work we prove a new strong convergence result of the regularized successive approximation method given by yn+1 = qnz0 + (1 − qn)T n yn, n = 1, 2, ..., where limn→∞ qn = 0 and X∞ n=1 qn = ∞, for T a total asymptotically nonexpansive ...
Espínola García, Rafael, Lorenzo Ramírez, Josefa, Alber, Yakov   +2 more
core   +1 more source

Weak and strong convergence of an explicit iteration process for an asymptotically quasi-i-nonexpansive mapping in Banach spaces

, 2012
In this paper, we prove the weak and strong convergence of an explicit iterative process to a common fixed point of an asymptotically quasi-I-nonexpansive mapping T and an asymptotically quasi-nonexpansive mapping I, defined on a nonempty closed convex ...
Purtas, Yunus, KIZILTUNÇ, Hükmi
core  

Fibonacci–Mann Iteration for Monotone Asymptotically Nonexpansive Mappings in Modular Spaces

, 2018
In this work, we extend the fundamental results of Schu to the class of monotone asymptotically nonexpansive mappings in modular function spaces. In particular, we study the behavior of the Fibonacci–Mann iteration process, introduced recently by ...
Mohamed A Khamsi, Buthinah A. Bin Dehaish   +1 more
core   +1 more source

Weak convergence theorems for asymptotically nonexpansive nonself-mappings

Applied Mathematics Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weiping Guo, Wei Guo
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Weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings

, 2010
In this paper, we introduce a new iterative scheme for finding a common fixed point of a finite family of generalized asymptotically quasi-nonexpansive mappings in a uniformly convex Banach space. We establish weak and strong convergence theorems.
Suthep Suantai, Suantai, Suthep, Watcharaporn Cholamjiak, Cholamjiak, Watcharaporn   +3 more
core   +1 more source