Hyers-Ulam stability of derivations on proper Jordan CQ*-algebras

被引:1
作者
Park, Choonkil [1 ]
Eskandani, Golamreza Zamani [2 ]
Vaezi, Hamid [2 ]
Shin, Dong Yun [3 ]
机构
[1] Hanyang Univ, Res Inst Nat Sci, Dept Math, Seoul 133791, South Korea
[2] Univ Tabriz, Fac Math Sci, Tabriz, Iran
[3] Univ Seoul, Dept Math, Seoul 130743, South Korea
来源
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年
基金
新加坡国家研究基金会;
关键词
Hyers-Ulam stability; proper Jordan CQ*-algebra; Jordan derivation; fixed point method; FUNCTIONAL-EQUATION; RASSIAS STABILITY; HOMOMORPHISMS; MAPPINGS; SPACES;
D O I
10.1186/1029-242X-2012-114
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Eskandani and Vaezi proved the Hyers-Ulam stability of derivations on proper Jordan CQ*-algebras associated with the following Pexiderized Jensen type functional equation kf (x + y/k) = f(0)(x) + f(1)(y) by using direct method. Using fixed point method, we prove the Hyers-Ulam stability of derivations on proper Jordan CQ*-algebras. Moreover, we investigate the Pexiderized Jensen type functional inequality in proper Jordan CQ*-algebras.
引用
收藏
页数:11
相关论文
共 50 条
  • [31] Hyers-Ulam stability of zeros of polynomials
    Jung, Soon-Mo
    APPLIED MATHEMATICS LETTERS, 2011, 24 (08) : 1322 - 1325
  • [32] Hyers-Ulam Stability of the Coefficient Multipliers on Analytic Hilbert Spaces
    Wang, Chun
    Xu, Tian-Zhou
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2024, 21 (04)
  • [33] Ulam-Hyers Stability of C*-Ternary 3-Jordan Derivations
    Keshavarz, V
    Jahedi, S.
    Gordji, M. Eshaghi
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2021, 45 (01) : 55 - 64
  • [34] HYERS-ULAM STABILITY OF GENERAL JENSEN TYPE MAPPINGS
    Park, Choonkil
    Lu, Gang
    Zhang, Ruijun
    Shin, Dong Yun
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 17 (04) : 667 - 673
  • [35] Hyers-Ulam Stability of General Jensen-Type Mappings in Banach Algebras
    Lu, Gang
    Park, Choonkil
    RESULTS IN MATHEMATICS, 2014, 66 (3-4) : 385 - 404
  • [36] HYERS-ULAM TYPE STABILITY OF JENSEN OPERATORS IN LOCALLY CONVEX CONES
    Nikoufar, Ismail
    Ranjbari, Asghar
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2024, 18 (04): : 1303 - 1312
  • [37] On Hyers-Ulam stability of generalized linear functional equation and its induced Hyers-Ulam programming problem
    Zhang, Dong
    AEQUATIONES MATHEMATICAE, 2016, 90 (03) : 559 - 568
  • [38] GENERALIZED HYERS-ULAM STABILITY OF MULTI-DIMENSIONAL QUADRATIC EQUATIONS
    Kim, Hark-Mahn
    Son, Eunyoung
    Son, Jiae
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2010, 12 (03) : 571 - 580
  • [39] Hyers-Ulam stability of an n-variable quartic functional equation
    Govindan, Vediyappan
    Hwang, Inho
    Park, Choonkil
    AIMS MATHEMATICS, 2021, 6 (02): : 1452 - 1469
  • [40] HYERS-ULAM STABILITY OF VOLTERRA INTEGRAL EQUATION
    Gachpazan, M.
    Baghani, O.
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2010, 1 (02): : 19 - 25