کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
390280 | 661237 | 2010 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Compactness in lattice-valued function spaces
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
هوش مصنوعی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We study conditions which ensure the compactness and weak relative compactness of a set of mappings between two lattice-valued convergence spaces. We consider lattice-valued pointwise convergence and lattice-valued continuous convergence. A suitable notion of even continuity for subsets of a function space is introduced which allows to pass from compactness with respect to the lattice-valued pointwise convergence to compactness with respect to lattice-valued continuous convergence. It is shown that with a regularity condition for the second space, we can deduce compactness conditions for sets of continuous mappings between two lattice-valued convergence spaces.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 161, Issue 22, 16 November 2010, Pages 2962-2974
Journal: Fuzzy Sets and Systems - Volume 161, Issue 22, 16 November 2010, Pages 2962-2974