Convergence theorems on viscosity approximation methods for a finite family of nonexpansive non-self-mappings
نویسندگان
چکیده
منابع مشابه
Strong Convergence Theorems for a Finite Family of Nonexpansive Mappings
Let H be a real Hilbert space, C a nonempty closed convex subset of H , and T : C → C a mapping. Recall that T is nonexpansive if ‖Tx−Ty‖ ≤ ‖x− y‖ for all x, y ∈ C. A point x ∈ C is called a fixed point of T provided Tx = x. Denote by F(T) the set of fixed points of T , that is, F(T) = {x ∈ C : Tx = x}. Recall that a self-mapping f : C → C is a contraction on C, if there exists a constant α∈ (0...
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Let K be a nonempty closed convex subset of a real Banach space E which has a uniformly Gâteaux differentiable norm. Assume that K is a sunny nonexpansive retract of E with Q as the sunny nonexpansive retraction. Let Ti : K → E, i = 1, 2, · · · , N be a family of nonexpansive mappings which are weakly inward with F = ⋂N i=1 F (Ti) 6= ∅. Let f : K → K be a fixed contractive mapping. For given x0...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2009
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2009.07.005