کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
390764 661300 2009 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fuzzy compact operators and topological degree theory
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Fuzzy compact operators and topological degree theory
چکیده انگلیسی

In this paper we first prove that the definition of fuzzy norm continuity and fuzzy boundedness of linear operators are equivalent. We show that the continuity assumption in the definition of compact linear operator is not necessary. We also point out that there is a gap in the proof of a theorem of Xiao and Zhu and we give a corrected version of the theorem such that all results based on the revised theorem remain true. Furthermore, we define a fuzzy product norm on the Cartesian product of two fuzzy normed spaces and prove a multiplicative property for the Leray–Schauder topological degree.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 160, Issue 9, 1 May 2009, Pages 1277-1285