کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1713684 1013244 2011 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hybrid extragradient method for general equilibrium problems and fixed point problems in Hilbert space
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Hybrid extragradient method for general equilibrium problems and fixed point problems in Hilbert space
چکیده انگلیسی

In this paper, we introduce an iterative scheme by the hybrid methods for finding a common element of the set of fixed points of nonexpansive mappings, the set of solutions of an equilibrium problem and the set of solutions of a variational inequality problem in a Hilbert space. Then, we prove the strongly convergent theorem by a hybrid extragradient method to the common element of the set of fixed points of nonexpansive mappings, the set of solutions of an equilibrium problem and the set of solutions of a variational inequality problem. Our results extend and improve the results of Bnouhachem et al. [A. Bnouhachem, M. Aslam Noor, Z. Hao, Some new extragradient iterative methods for variational inequalities, Nonlinear Analysis (2008) doi:10.1016/j.na.2008.02.014] and many others.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Hybrid Systems - Volume 5, Issue 3, August 2011, Pages 467–478
نویسندگان
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