ISOMETRIC ADDITIVE MAPPINGS IN GENERALIZED QUASI-BANACH SPACES

被引：9
|
作者：
Park, Chun-Gil [1 ]
Rassias, Themistocles M. [2 ]
机构：
[1] Hanyang Univ, Dept Math, Seoul 133791, South Korea
[2] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece
来源：
BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2008年 / 2卷 / 01期
关键词：
Cauchy mapping; Jensen mapping; generalized quasi-Banach space; generalized Hyers-Ulam stability; isometry; generalized p-Banach space;
D O I：
10.15352/bjma/1240336274
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove the generalized Hyers-Ulam stability of the isometric additive mappings in generalized quasi-Banach spaces, and prove the generalized Hyers-Ulam stability of the isometric additive mappings in generalized p-Banach spaces.
引用
收藏
页码：59 / 69
页数：11
相关论文
共 50 条
  • [1] ADDITIVE FUNCTIONAL INEQUALITIES IN GENERALIZED QUASI-BANACH SPACES
    Li, Lexin
    Lu, Gang
    Park, Choonkil
    Shin, Dong Yun
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (06) : 1165 - 1175
  • [2] Functional inequalities in generalized quasi-Banach spaces
    Fang, Ming
    Lu, Gang
    Pei, Dong He
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 2481 - 2491
  • [3] Generalized quasi-Banach sequence spaces and measures of noncompactness
    Silva, Eduardo B.
    Fernandez, Diocesar L.
    Nikolova, Ludmila
    ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS, 2013, 85 (02): : 443 - 456
  • [4] On the Stability of a Parametric Additive Functional Equation in Quasi-Banach Spaces
    Ebadian, A.
    Ghobadipour, N.
    Gordji, M. Eshaghi
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [5] Drops in Quasi-Banach Spaces
    Albiac, Fernando
    Leranoz, Camino
    JOURNAL OF GEOMETRIC ANALYSIS, 2010, 20 (03) : 525 - 537
  • [6] Continuity properties and Bargmann mappings of quasi-Banach Orlicz modulation spaces
    Toft, Joachim
    Uster, Ruya
    Morsalfard, Elmira Nabizadeh
    Oztop, Serap
    FORUM MATHEMATICUM, 2022, 34 (05) : 1205 - 1232
  • [7] Drops in Quasi-Banach Spaces
    Fernando Albiac
    Camino Leránoz
    Journal of Geometric Analysis, 2010, 20 : 525 - 537
  • [8] The generalized hyperstability of general linear equations in quasi-Banach spaces
    Nguyen Van Dung
    Vo Thi Le Hang
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 462 (01) : 131 - 147
  • [9] Spaceability in Banach and quasi-Banach sequence spaces
    Botelho, G.
    Diniz, D.
    Favaro, V. V.
    Pellegrino, D.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 434 (05) : 1255 - 1260
  • [10] Stability of a mixed additive and quadratic functional equation in quasi-Banach spaces
    Nguyen Van Dung
    Vo Thi Le Hang
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (03)
12345