کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
842727 1470528 2009 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An implicit method for finding common solutions of variational inequalities and systems of equilibrium problems and fixed points of infinite family of nonexpansive mappings
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
An implicit method for finding common solutions of variational inequalities and systems of equilibrium problems and fixed points of infinite family of nonexpansive mappings
چکیده انگلیسی

Let HH be a Hilbert space. Consider on HH a sequence of nonexpansive mappings {Tn}{Tn} with common fixed points, a finite family of equilibrium functions {Gi}i=1,…,K{Gi}i=1,…,K, a contraction ff with coefficient 0<α<10<α<1 and a strongly positive linear bounded operator AA with coefficient γ¯>0.Let 0<γ<γ¯/α. Assuming there are common equilibrium points of the family {Gi}i=1,…,K{Gi}i=1,…,K which are also fixed points for {Tn}{Tn}, we define a suitable sequence which strongly converges to the unique such point which also satisfies the variational inequality 〈(A−γf)x∗,x−x∗〉≥0〈(A−γf)x∗,x−x∗〉≥0 for all the xx in the intersection of the equilibrium points and the common fixed points of the sequence {Tn}{Tn}.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 71, Issues 7–8, 1–15 October 2009, Pages 2708–2715
نویسندگان
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