کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4623568 1631575 2006 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Jordan–von Neumann constants and fixed points for multivalued nonexpansive mappings
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
The Jordan–von Neumann constants and fixed points for multivalued nonexpansive mappings
چکیده انگلیسی

The purpose of this paper is to study the existence of fixed points for nonexpansive multivalued mappings in a particular class of Banach spaces. Furthermore, we demonstrate a relationship between the weakly convergent sequence coefficient WCS(X) and the Jordan–von Neumann constant CNJ(X) of a Banach space X. Using this fact, we prove that if CNJ(X) is less than an appropriate positive number, then every multivalued nonexpansive mapping has a fixed point where E is a nonempty weakly compact convex subset of a Banach space X, and KC(E) is the class of all nonempty compact convex subsets of E.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 320, Issue 2, 15 August 2006, Pages 916-927