On the Mazur-Ulam Theorem in Non-Archimedean Fuzzy Anti-2-Normed Spaces (vol 31, pg 4915, 2017)

被引：0

作者：

Sanchez, Javier Cabello ^{[1
]}

Garmendia, Jose Navarro ^{[1
]}

机构：

[1] Univ Extremadura, Dept Matemat, Ave Elvas S-N, Badajoz 06006, Spain

来源：

FILOMAT | 2021年 / 35卷 / 14期

关键词：

Fuzzy normed spaces; Mazur-Ulam theorem; non-Archimedean normed spaces; strict convexity;

D O I：

10.2298/FIL2114673C

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we correct a paper by D. Kang ("On the Mazur-Ulam theorem in non-Archimedean fuzzy anti-2-normed spaces", Filomat, 2017). The research in that paper applies to what the author calls strictly convex spaces. Nevertheless, we prove that this notion is void: there is no single space that satisfies the definition.

引用

页码：4673 / 4674

页数：2

共 22 条

[1] On the Mazur-Ulam Theorem in Non-Archimedean Fuzzy Anti-2-Normed Spaces
Kang, Dongseung
FILOMAT, 2017, 31 (15) : 4915 - 4923
[2] On the Mazur-Ulam theorem in non-Archimedean fuzzy normed spaces
Kang, Dongseung
Koh, Heejeong
Cho, In Goo
APPLIED MATHEMATICS LETTERS, 2012, 25 (03) : 301 - 304
[3] A Mazur-Ulam theorem in non-Archimedean normed spaces
Moslehian, Mohammad Sal
Sadeghi, Ghadir
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (10) : 3405 - 3408
[4] On the Mazur-Ulam problem in non-Archimedean fuzzy 2-normed spaces
Heejeong Koh
Dongseung Kang
Journal of Inequalities and Applications, 2013
[5] On the Mazur-Ulam problem in non-Archimedean fuzzy 2-normed spaces
Koh, Heejeong
Kang, Dongseung
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[6] Isometries, Mazur-Ulam theorem and Aleksandrov problem for non-Archimedean normed spaces
Kubzdela, Albert
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (04) : 2060 - 2068
[7] A Mazur-Ulam problem in non-Archimedean n-normed spaces
Hahng-Yun Chu
Se-Hyun Ku
Journal of Inequalities and Applications, 2013
[8] A Mazur-Ulam problem in non-Archimedean n-normed spaces
Chu, Hahng-Yun
Ku, Se-Hyun
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[9] A Generalized Mazur-Ulam Theorem for Fuzzy Normed Spaces
Font, J. J.
Galindo, J.
Macario, S.
Sanchis, M.
ABSTRACT AND APPLIED ANALYSIS, 2014,
[10] Mazur-Ulam theorem for probabilistic 2-normed spaces
Shatanawi, Wasfi
Postolache, Mihai
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (06): : 1228 - 1233

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