Mazur-Ulam theorem under weaker conditions in the framework of 2-fuzzy 2-normed linear spaces

被引：0
|
作者：
Choonkil Park
Cihangir Alaca
机构：
[1] Hanyang University,Department of Mathematics, Research Institute for Natural Sciences
[2] Celal Bayar University,Department of Mathematics, Faculty of Science and Arts
来源：
Journal of Inequalities and Applications | / 2013卷
关键词：
-2-norm; 2-fuzzy 2-normed linear spaces; 2-isometry; Mazur-Ulam theorem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The purpose of this paper is to prove that every 2-isometry without any other conditions from a fuzzy 2-normed linear space to another fuzzy 2-normed linear space is affine, and to give a new result of the Mazur-Ulam theorem for 2-isometry in the framework of 2-fuzzy 2-normed linear spaces.
引用
收藏
相关论文
共 45 条
  • [1] Mazur-Ulam theorem under weaker conditions in the framework of 2-fuzzy 2-normed linear spaces
    Park, Choonkil
    Alaca, Cihangir
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [2] A NEW PERSPECTIVE TO THE MAZUR-ULAM PROBLEM IN 2-FUZZY 2-NORMED LINEAR SPACES
    Alaca, C.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2010, 7 (02): : 109 - 119
  • [3] Mazur-Ulam theorem for probabilistic 2-normed spaces
    Shatanawi, Wasfi
    Postolache, Mihai
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (06): : 1228 - 1233
  • [4] On the Mazur-Ulam problem in linear 2-normed spaces
    Chu, Hahng-Yun
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (02) : 1041 - 1045
  • [5] A new version of Mazur-Ulam theorem under weaker conditions in linear n-normed spaces
    Park, Choonkil
    Alaca, Cihangir
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 16 (05) : 827 - 832
  • [6] An introduction to 2-fuzzy n-normed linear spaces and a new perspective to the Mazur-Ulam problem
    Choonkil Park
    Cihangir Alaca
    Journal of Inequalities and Applications, 2012
  • [7] An introduction to 2-fuzzy n-normed linear spaces and a new perspective to the Mazur-Ulam problem
    Park, Choonkil
    Alaca, Cihangir
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012, : 1 - 17
  • [8] On the Mazur-Ulam problem in non-Archimedean fuzzy 2-normed spaces
    Heejeong Koh
    Dongseung Kang
    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] On the Mazur-Ulam problem in non-Archimedean fuzzy 2-normed spaces
    Koh, Heejeong
    Kang, Dongseung
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
12345