کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4616909 | 1339363 | 2013 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The domination property for efficiency and Bishop-Phelps theorem in locally convex spaces
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We introduce the notion of Î-closedness for any bounded convex set Î and investigate the relationship between Î-closedness and local closedness. Moreover we study some properties of Ï-convex sets. By using Î-closedness, local closedness and Ï-convexity, we give two main theorems on the domination property and the existence of efficient points in locally convex spaces. From these two main theorems we deduce a number of corollaries, which improve the related known results. As an application of the main results, we obtain several support point theorems in locally convex spaces, which generalize the famous Bishop-Phelps theorem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 402, Issue 1, 1 June 2013, Pages 133-146
Journal: Journal of Mathematical Analysis and Applications - Volume 402, Issue 1, 1 June 2013, Pages 133-146
نویسندگان
Jing-Hui Qiu,