Strong convergent result for quasi-nonexpansive mappings in Hilbert spaces
نویسندگان
چکیده
منابع مشابه
Strong convergence theorems for quasi-nonexpansive mappings and maximal monotone operators in Hilbert spaces
We present the strong convergence theorem for the iterative scheme for finding a common element of the fixed-point set of a quasi-nonexpansive mapping and the zero set of the sums of maximal monotone operators in Hilbert spaces. Our results extend and improve the recent results of Takahashi et al. (J. Optim. Theory Appl. 147:27-41, 2010) and Takahashi and Takahashi (Nonlinear Anal. 69:1025-1033...
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Let C be a nonempty closed convex subset of a Hilbert spaceH, T a self-mapping of C. Recall that T is said to be nonexpansive if ‖Tx − Ty‖ ≤ ‖x − y‖, for all x, y ∈ C. Construction of fixed points of nonexpansive mappings via Mann’s iteration 1 has extensively been investigated in literature see, e.g., 2–5 and reference therein . But the convergence about Mann’s iteration and Ishikawa’s iterati...
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ژورنال
عنوان ژورنال: Fixed Point Theory and Applications
سال: 2011
ISSN: 1687-1812
DOI: 10.1186/1687-1812-2011-88