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
  • [31] On the Stability of a Generalized Quadratic and Quartic Type Functional Equation in Quasi-Banach Spaces
    Gordji, M. Eshaghi
    Abbaszadeh, S.
    Park, Choonkil
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,
  • [32] APPROXIMATION OF GENERALIZED HOMOMORPHISMS IN QUASI-BANACH ALGEBRAS
    Gordji, M. Eshaghi
    Savadkouhi, M. Bavand
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2009, 17 (02): : 203 - 213
  • [33] Hardy spaces for ball quasi-Banach function spaces
    Sawano, Yoshihiro
    Ho, Kwok-Pun
    Yang, Dachun
    Yang, Sibei
    DISSERTATIONES MATHEMATICAE, 2017, (525) : 1 - 102
  • [34] Logarithmic interpolation spaces between quasi-Banach spaces
    Cobos, Fernando
    Fernandez-Cabrera, Luz M.
    Manzano, Antonio
    Martinez, Anton
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2007, 26 (01): : 65 - 86
  • [35] On isomorphically equivalent extensions of quasi-Banach spaces
    Castillo, JMF
    Moreno, Y
    RECENT PROGRESS IN FUNCTIONAL ANALYSIS, 2001, 189 : 263 - 272
  • [36] Generalized Hyers-Ulam stability of a general mixed additive-cubic functional equation in quasi-Banach spaces
    Tian Zhou Xu
    John Michael Rassias
    Wan Xin Xu
    Acta Mathematica Sinica, English Series, 2012, 28 : 529 - 560
  • [37] Formulae for the distance in some quasi-Banach spaces
    Edmunds, DE
    Karadzhov, GE
    ARKIV FOR MATEMATIK, 2005, 43 (01): : 145 - 165
  • [38] STABILITY CONSTANTS AND THE HOMOLOGY OF QUASI-BANACH SPACES
    Cabello Sanchez, Felix
    Castillo, Jesus M. F.
    ISRAEL JOURNAL OF MATHEMATICS, 2013, 198 (01) : 347 - 370
  • [39] AN EXTENSION OF FOURIER TYPE TO QUASI-BANACH SPACES
    CWIKEL, M
    SAGHER, Y
    LECTURE NOTES IN MATHEMATICS, 1988, 1302 : 171 - 176
  • [40] On the Stability of a Generalized Quadratic and Quartic Type Functional Equation in Quasi-Banach Spaces
    M. Eshaghi Gordji
    S. Abbaszadeh
    Choonkil Park
    Journal of Inequalities and Applications, 2009
12345