کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
472317 698704 2012 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An extragradient method for solving split feasibility and fixed point problems
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
An extragradient method for solving split feasibility and fixed point problems
چکیده انگلیسی

The purpose of this paper is to introduce and analyze an extragradient method with regularization for finding a common element of the solution set ΓΓ of the split feasibility problem and the set Fix(S) of fixed points of a nonexpansive mapping SS in the setting of infinite-dimensional Hilbert spaces. Combining the regularization method and the extragradient method due to Nadezhkina and Takahashi [N. Nadezhkina, W. Takahashi, Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings, J. Optim. Theory Appl. 128 (2006) 191–201], we propose an iterative algorithm for finding an element of Fix(S)∩Γ. We prove that the sequences generated by the proposed algorithm converge weakly to an element of Fix(S)∩Γ under mild conditions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 64, Issue 4, August 2012, Pages 633–642
نویسندگان
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