کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
842514 | 908534 | 2008 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An implicit iterative scheme for monotone variational inequalities and fixed point problems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper we introduce an implicit iterative scheme for finding a common element of the set of common fixed points of NN nonexpansive mappings and the set of solutions of the variational inequality problem for a monotone, Lipschitz-continuous mapping. The implicit iterative scheme is based on two well-known methods: extragradient and approximate proximal. We obtain a weak convergence theorem for three sequences generated by this implicit iterative scheme. On the basis of this theorem, we also construct an implicit iterative process for finding a common fixed point of N+1N+1 mappings, such that one of these mappings is taken from the more general class of Lipschitz pseudocontractive mappings and the other NN mappings are nonexpansive.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 69, Issue 8, 15 October 2008, Pages 2445–2457
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 69, Issue 8, 15 October 2008, Pages 2445–2457
نویسندگان
L.C. Ceng, P. Cubiotti, J.C. Yao,