Strong Convergence of a Modified Halpern's Iteration for Nonexpansive Mappings
نویسندگان
چکیده
منابع مشابه
Strong Convergence of a Modified Halpern’s Iteration for Nonexpansive Mappings
A mapping T : C → C is said to be nonexpansive if ‖Tx − Ty‖ ≤ ‖x − y‖, for all x, y ∈ C. We denote by Fix T {x ∈ C : Tx x} the set of fixed points of T . In the last ten years, many papers have been written on the approximation of fixed point for nonlinear mappings by using some iterative processes see, e.g., 1–18 . An explicit iterative process was initially introduced, in 1967, by Halpern 3 i...
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ژورنال
عنوان ژورنال: Fixed Point Theory and Applications
سال: 2008
ISSN: 1687-1812
DOI: 10.1155/2008/649162