کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5774933 | 1413570 | 2017 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Stability constants of the weakâ fixed point property for the space â1
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Stability constants of the weakâ fixed point property for the space â1 Stability constants of the weakâ fixed point property for the space â1](/preview/png/5774933.png)
چکیده انگلیسی
The main aim of the paper is to study some quantitative aspects of the stability of the weakâ fixed point property for nonexpansive mappings in â1 (shortly, wâ-fpp). We focus on two complementary approaches to this topic. First, given a predual X of â1 such that the Ï(â1,X)-fpp holds, we precisely establish how far, with respect to the Banach-Mazur distance, we can move from X without losing the wâ-fpp. The interesting point to note here is that our estimate depends only on the smallest radius of the ball in â1 containing all Ï(â1,X)-cluster points of the extreme points of the unit ball. Second, we pass to consider the stability of the wâ-fpp in the restricted framework of preduals of â1. Namely, we show that every predual X of â1 with a distance from c0 strictly less than 3, induces a weakâ topology on â1 such that the Ï(â1,X)-fpp holds.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 452, Issue 1, 1 August 2017, Pages 673-684
Journal: Journal of Mathematical Analysis and Applications - Volume 452, Issue 1, 1 August 2017, Pages 673-684
نویسندگان
Emanuele Casini, Enrico Miglierina, Åukasz Piasecki, Roxana Popescu,