کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
842413 | 908532 | 2010 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Strong convergence for a minimization problem on points of equilibrium and common fixed points of an infinite family of nonexpansive mappings
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Strong convergence for a minimization problem on points of equilibrium and common fixed points of an infinite family of nonexpansive mappings Strong convergence for a minimization problem on points of equilibrium and common fixed points of an infinite family of nonexpansive mappings](/preview/png/842413.png)
چکیده انگلیسی
Let HH be a Hilbert space. Consider on HH a sequence of nonexpansive mappings {Tn}{Tn} with common fixed points, an equilibrium function GG, 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. We define a suitable Mann type algorithm which strongly converges to the unique solution of the minimization problem minx∈C12〈Ax,x〉−h(x), where hh is a potential function for γfγf and CC is 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 73, Issue 11, 1 December 2010, Pages 3513–3524
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 73, Issue 11, 1 December 2010, Pages 3513–3524
نویسندگان
Vittorio Colao, Giuseppe Marino,