[PDF] Top 20 Rodé's theorem on common fixed points of semigroup of nonexpansive mappings in CAT(0) spaces
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Rodé's theorem on common fixed points of semigroup of nonexpansive mappings in CAT(0) spaces
... For each semigroup S, let B(S) be the Banach space of all bounded real-valued map- pings on S with supremum norm. A continuous linear functional μ Î B(S)* (the dual space of ... See full document
14
Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces
... asymptotically nonexpansive type of a right reversible semitopological semigroup and strong convergence for a com- mutative ...ergodic theorem for a nonexpansive semigroup in ... See full document
12
Convergence theorems of common fixed points for some semigroups of nonexpansive mappings in complete CAT(0) spaces
... of nonexpansive mappings, then t≥ F(T (t)) = ∅ []; see also [–] and ...continuous semigroup of nonexpansive mappings, one can see ... See full document
18
Halpern's Iteration in CAT(0) Spaces
... CAT0 spaces to be very similar to the weak convergence in Banach space ...a fixed point of a nonexpansive mapping have been established with respect to this type of convergence ...a common ... See full document
13
Approximating fixed points of α-nonexpansive mappings in uniformly convex Banach spaces and CAT(0) spaces
... existence theorem for a fixed point of an α-nonexpansive mapping T of a nonempty bounded, closed and convex subset C of a uniformly convex Banach space E has been recently established by Aoyama and Kohsaka ... See full document
20
Some convergence theorems involving proximal point and common fixed points for asymptotically nonexpansive mappings in \(\operatorname {CAT}(0)\) spaces
... a CAT() space, if it is geodesically connected and if every geodesic triangle in X is at least as ‘thin’ as its comparison triangle in the Euclidean ...a CAT() space X is convex if, for any x, y ∈ K , we ... See full document
11
Common Fixed Points for Multimaps in Metric Spaces
... quasi-nonexpansive mappings i.e., mappings for which its fixed points are centers with nonempty fixed point sets in CAT 0 spaces and dropping the condition ... See full document
14
Viscosity Approximation of Common Fixed Points for Lipschitzian Semigroup of Pseudocontractive Mappings in Banach Spaces
... This problem has been solved by Li and Huang 15 and Suzuki 8, respectively. Moudafi’s viscosity approximation method has been recently studied by many authors see, e.g., 2, 3, 5, 10, 13, 15–17 and the references therein. ... See full document
16
Proximal point algorithms involving fixed points of nonexpansive mappings in \(\operatorname{CAT}(0)\) spaces
... a CAT() space was first studied by Kirk ...of mappings in CAT() spaces has been investigated ...for nonexpansive mappings in CAT() ...two nonexpansive ... See full document
13
On the set of common fixed points of semigroups of nonlinear mappings in modular function spaces
... all common fixed points of a continuous semigroup of ρ-nonexpansive mappings is nonempty and can be represented as the set of all fixed points of just one ρ-nonexpansive ... See full document
19
Approximating of common fixed points of two multivalued nonexpansive mappings in CAT(0) spaces
... a CAT (0) space if it is geodesically connected, and if every geodesic triangle in X is at least as ‘thin’ as its comparison triangle in the Euclidean ...a CAT(0) space. other examples include ... See full document
10
Common fixed points of G-nonexpansive mappings on Banach spaces with a graph
... the theorem was given in Banach spaces endowed with a ...to mappings on a metric space endowed with a ...G-nonexpansive mappings on ...multivalued mappings defined on a metric ... See full document
8
Strong convergence of an new iterative method for a zero of accretive operator and nonexpansive mapping
... is nonexpansive if ∥Tx - Ty∥ ≤ ∥x - y∥ for all x, y Î ...a fixed point of T provided Tx = x. Denote by F(T) the set of fixed points of T, that is, F(T) = {x Î C, Tx = ... See full document
13
Common Fixed Point Results for Compatible Map in Digital Metric Space
... and fixed point ...compatible mappings and compatible mappings of types (A) and (P) in digital metric ...of fixed point theorem to digital ... See full document
10
Fixed Points Of Generalised Nonexpansive Mappings In Banach Spaces
... of mappings (1.6)-(1.7) and prove a couple of fixed point theorems under generalized contraction condition with a different method which in turn generalize fixed point theorem Bose and ... See full document
8
On fixed points of fundamentally nonexpansive mappings in Banach spaces
... called nonexpansive if kT x − T yk 6 kx − yk for all x, y ∈ ...the fixed points set of T , ...its fixed points set is nonempty and kT x − uk 6 kx − uk for all x ∈ K and u ∈ F (T ... See full document
6
Fixed points of multivalued nonexpansive mappings in Banach spaces
... “ We note that the iteration scheme constructed by Song and Wang [7] involves the estimates which are not easy to be computed and the scheme is more time consuming. We also observe that Song and Wang [7] did not use the ... See full document
9
On the fixed points of nonexpansive mappings in modular metric spaces
... pseudomodular in the sense of Def. .. in [] (more precisely, it is a function pseudo- modular with the Fatou property). Therefore, we can use all results of the standard theory of modular function spaces as ... See full document
13
Strong Convergence Theorems for Common Fixed Points of Multistep Iterations with Errors in Banach Spaces
... convergence theorem for common fixed points of the multistep iterative scheme with errors for asymptotically nonexpansive mappings in the intermediate sense in a uniformly convex ... See full document
12
Viscosity approximation methods for nonexpansive mappings in CAT(0) spaces
... complete CAT() space (X, d), the pseudometric space ( R × X × X, D) can be con- sidered as a subspace of the pseudometric space (Lip(X, R), L) of all real-valued Lipschitz ... See full document
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