Strong Convergence of Generalized Projection Algorithms for Nonlinear Operators
نویسندگان
چکیده
منابع مشابه
Strong Convergence of Generalized Projection Algorithms for Nonlinear Operators
and Applied Analysis 3 nonexpansive mapping such that F S ∩ A−10/ ∅. Let {xn} be a sequence generated by x0 x ∈ C and un J−1 ( βnJxn ( 1 − βn ) JSJrnxn ) , Cn { z ∈ C : φ z, un ≤ φ z, xn } , Qn {z ∈ C : 〈xn − z, Jx0 − Jxn〉 ≥ 0}, xn 1 ΠCn∩Qnx0 1.6 for all n ∈ N ∪ {0}, where J is the duality mapping on E, {βn} ⊂ 0, 1 , and {rn} ⊂ a,∞ for some a > 0. If lim infn→∞ 1 − βn > 0, then {xn} converges s...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2009
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2009/649831