Fuzzy Normed Linear Spaces Generated By Linear Functionals

被引:0
作者
Khoddami, Ali Reza [1 ]
Kouhsari, Fatemeh [1 ]
机构
[1] Shahrood Univ Technol, Fac Math Sci, POB 3619995161-316, Shahrood, Iran
来源
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2024年 / 21卷 / 03期
关键词
Fuzzy norm; Linear space; Linear functional; Separate continuity; FIXED-POINT THEOREMS;
D O I
10.22130/scma.2023.2012528.1476
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
收藏
页码:1 / 19
页数:20
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