کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
473140 698772 2009 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Approximate generalized proximal-type method for convex vector optimization problem in Banach spaces
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Approximate generalized proximal-type method for convex vector optimization problem in Banach spaces
چکیده انگلیسی

In this paper, we consider a convex vector optimization problem of finding weak Pareto optimal solutions for an extended vector-valued map from a uniformly convex and uniformly smooth Banach space to a real Banach space, with respect to the partial order induced by a closed, convex and pointed cone with a nonempty interior. We propose an inexact vector-valued proximal-type point algorithm based on a Lyapunov functional when the iterates are computed approximately and prove the sequence generated by the algorithm weakly converges to a weak Pareto optimal solution of the vector optimization problem under some mild conditions. Our results improve and generalize some known results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 57, Issue 7, April 2009, Pages 1196–1203
نویسندگان
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