کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
468853 698260 2011 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence and iteration for a mixed equilibrium problem and a countable family of nonexpansive mappings in Banach spaces
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Existence and iteration for a mixed equilibrium problem and a countable family of nonexpansive mappings in Banach spaces
چکیده انگلیسی

We prove the existence of a solution of the mixed equilibrium problem (MEP) by using the KKM mapping in a Banach space setting. Then, by virtue of this result, we construct a hybrid algorithm for finding a common element in the solutions set of a mixed equilibrium problem and the fixed points set of a countable family of nonexpansive mappings in the frameworks of Banach spaces. By using a projection technique, we also prove that the sequences generated by the hybrid algorithm converge strongly to a common element in the solutions set of MEP and common fixed points set of nonexpansive mappings. Moreover, some applications concerning the equilibrium and the convex minimization problems are obtained.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 61, Issue 9, May 2011, Pages 2725–2733
نویسندگان
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