کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4663717 1345273 2014 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Ekeland's principle for set-valued vector equilibrium problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Ekeland's principle for set-valued vector equilibrium problems
چکیده انگلیسی

In this paper, we introduce a concept of quasi C-lower semicontinuity for set-valued mapping and provide a vector version of Ekeland's theorem related to set-valued vector equilibrium problems. As applications, we derive an existence theorem of weakly efficient solution for set-valued vector equilibrium problems without the assumption of convexity of the constraint set and the assumptions of convexity and monotonicity of the set-valued mapping. We also obtain an existence theorem of ɛ-approximate solution for set-valued vector equilibrium problems without the assumptions of compactness and convexity of the constraint set.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Acta Mathematica Scientia - Volume 34, Issue 4, July 2014, Pages 1179-1192