Viscosity approximation methods for two nonexpansive semigroups in CAT(0) spaces
نویسندگان
چکیده
منابع مشابه
General Viscosity Approximation Methods for Common Fixed Points of Nonexpansive Semigroups in Hilbert Spaces
Copyright q 2011 Xue-song Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. This paper is devoted to the strong convergence of two kinds of general viscosity iteration processes for approximating common fixed points of a n...
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Viscosity approximation methods for nonexpansive nonself-mappings are studied. Let C be a nonempty closed convex subset of Hilbert space H , P a metric projection of H onto C and let T be a nonexpansive nonself-mapping from C into H . For a contraction f on C and {tn} ⊆ (0,1), let xn be the unique fixed point of the contraction x → tn f (x) + (1− tn)(1/n) ∑n j=1(PT) x. Consider also the iterati...
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The purpose of this paper is to study the strong convergence theorems of Moudafi's viscosity approximation methods for a nonexpansive mapping T in CAT(0) spaces without the property P. For a contraction f on C and t ∈ (0, 1), let x t ∈ C be the unique fixed point of the contraction x → tf (x) ⊕ (1 – t)Tx; i.e., x t = tf (x t) ⊕ (1 – t)Tx t and x n+1 = α n f (x n) ⊕ (1 – α n)Tx n , n ≥ 0, where ...
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متن کاملViscosity Approximation to Common Fixed Points of Nonexpansive Semigroups in Hilbert Spaces
Let C be a closed convex subset of a Hilbert space H , let {T (t) : t ≥ 0}be a strongly continuous semigroup of non-expansive mapping on C such that ⋂ t≥0 F (T (t)) = ∅, and f : C → C be a fixed contractive mapping. Let {αn} and {tn} be sequences of real numbers satisfying 0 < αn < 1, tn > 0 and limn tn = limn αn tn = 0. Define a sequence {xn} in C by xn = αnf(xn) + (1 − αn)T (tn)xn, for n ∈ N....
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2014
ISSN: 1029-242X
DOI: 10.1186/1029-242x-2014-283