کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
841613 908515 2010 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Convergence and certain control conditions for hybrid viscosity approximation methods
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Convergence and certain control conditions for hybrid viscosity approximation methods
چکیده انگلیسی
Very recently, Yao, Chen and Yao [20] proposed a hybrid viscosity approximation method, which combines the viscosity approximation method and the Mann iteration method. Under the convergence of one parameter sequence to zero, they derived a strong convergence theorem in a uniformly smooth Banach space. In this paper, under the convergence of no parameter sequence to zero, we prove the strong convergence of the sequence generated by their method to a fixed point of a nonexpansive mapping, which solves a variational inequality. An appropriate example such that all conditions of this result are satisfied and their condition βn→0 is not satisfied is provided. Furthermore, we also give a weak convergence theorem for their method involving a nonexpansive mapping in a Hilbert space.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 73, Issue 7, 1 October 2010, Pages 2078-2087
نویسندگان
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