کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840414 908480 2012 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On a generalized proximal point method for solving equilibrium problems in Banach spaces
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
On a generalized proximal point method for solving equilibrium problems in Banach spaces
چکیده انگلیسی

We introduce a regularized equilibrium problem in Banach spaces, involving generalized Bregman functions. For this regularized problem, we establish the existence and uniqueness of solutions. These regularizations yield a proximal-like method for solving equilibrium problems in Banach spaces. We prove that the proximal sequence is an asymptotically solving sequence when the dual space is uniformly convex. Moreover, we prove that all weak accumulation points are solutions if the equilibrium function is lower semicontinuous in its first variable. We prove, under additional assumptions, that the proximal sequence converges weakly to a solution.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 18, December 2012, Pages 6456–6464
نویسندگان
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