Fuzzy Normed Linear Spaces Generated By Linear Functionals
عنوان مقاله: Fuzzy Normed Linear Spaces Generated By Linear Functionals
شناسه ملی مقاله: JR_SCMA-21-3_001
منتشر شده در در سال 1403
شناسه ملی مقاله: JR_SCMA-21-3_001
منتشر شده در در سال 1403
مشخصات نویسندگان مقاله:
Ali Reza Khoddami - Faculty of Mathematical Sciences, Shahrood University of Technology, P. O. Box ۳۶۱۹۹۹۵۱۶۱-۳۱۶, Shahrood, Iran.
Fatemeh Kouhsari - Faculty of Mathematical Sciences, Shahrood University of Technology, P. O. Box ۳۶۱۹۹۹۵۱۶۱-۳۱۶, Shahrood, Iran.
خلاصه مقاله:
Ali Reza Khoddami - Faculty of Mathematical Sciences, Shahrood University of Technology, P. O. Box ۳۶۱۹۹۹۵۱۶۱-۳۱۶, Shahrood, Iran.
Fatemeh Kouhsari - Faculty of Mathematical Sciences, Shahrood University of Technology, P. O. Box ۳۶۱۹۹۹۵۱۶۱-۳۱۶, Shahrood, Iran.
For a nonzero normed linear space X, we will define some different classes of fuzzy norms on X generated by linear and bounded linear functionals. Also separate continuity of the elements within each class are investigated. The aim of this research is to introduce a source of examples and counterexamples in the field of fuzzy normed spaces.
کلمات کلیدی: Fuzzy norm, Linear space, Linear functional, Separate continuity
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/2024791/