Nearly higher ternary derivations in Banach ternary algebras :An alternative fixed point approach

被引:0
|
作者
Hosseinioun, Seyed Alireza [1 ]
Farrokhzad, Raziyeh [2 ]
Gordji, Madjid Eshaghi [3 ]
机构
[1] Univ Arkansas, Dept Math Sci, Fayetteville, AR 72701 USA
[2] Shahid Beheshti Univ Tehran, Dept Math, Tehran, Iran
[3] Semnan Univ, Dept Math, POB 35195-363, Semnan, Iran
关键词
Alternative fixed point; HyersUlamRassias stability; ternary algebra; ternary derivation;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We say a functional equation (xi) is stable if any function g satisfying the equation (xi) approximately is near to true solution of (xi). Using fixed point methods, we investigate approximately higher ternary derivations in Banach ternary algebras via the Cauchy functional equation.
引用
收藏
页码:7 / 15
页数:9
相关论文
共 50 条
  • [1] Nearly Ternary Quadratic Higher Derivations on Non-Archimedean Ternary Banach Algebras: A Fixed Point Approach
    Gordji, M. Eshaghi
    Ghaemi, M. B.
    Rassias, J. M.
    Alizadeh, Badrkhan
    ABSTRACT AND APPLIED ANALYSIS, 2011,
  • [2] Ternary Jordan ring derivations on Banach ternary algebras: A fixed point approach
    Gordji, Madjid Eshaghi
    Bazeghi, Shayan
    Park, Choonkil
    Jang, Sun Young
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 21 (05) : 829 - 834
  • [3] GENERALIZED TERNARY BI-DERIVATIONS ON TERNARY BANACH ALGEBRAS: A FIXED POINT APPROACH
    Gordji, Madjid Eshaghi
    Kim, Gwang Hui
    Lee, Jung Rye
    Park, Choonkil
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (01) : 45 - 54
  • [4] PERTURBATIONS OF HIGHER JORDAN DERIVATIONS IN ANACH TERNARY ALGEBRAS :AN ALTERNATIVE FIXED POINT APPROACH
    Rostami, R. Farokhzad
    Hosseinioun, S. A. R.
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2010, 1 (01): : 42 - 53
  • [5] PERTURBATIONS OF HIGHER TERNARY DERIVATIONS IN BANACH TERNARY ALGEBRAS
    Park, Kyoo-Hong
    Jung, Yong-Soo
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 23 (03): : 387 - 399
  • [6] Stability and superstability of generalized quadratic ternary derivations on non-Archimedean ternary Banach algebras: a fixed point approach
    Choonkil Park
    Madjid Eshaghi Gordji
    Yeol Je Cho
    Fixed Point Theory and Applications, 2012
  • [7] Stability and superstability of generalized quadratic ternary derivations on non-Archimedean ternary Banach algebras: a fixed point approach
    Park, Choonkil
    Gordji, Madjid Eshaghi
    Cho, Yeol Je
    FIXED POINT THEORY AND APPLICATIONS, 2012, : 1 - 8
  • [8] The fixed point alternative and the stability of ternary derivations
    Ebadian, A.
    Najafzadeh, Sh
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2011, 13 (04) : 776 - 784
  • [9] Approximate ternary Jordan derivations on Banach ternary algebras
    Savadkouhi, M. Bavand
    Gordji, M. Eshaghi
    Rassias, J. M.
    Ghobadipour, N.
    JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (04)
  • [10] NEARLY GENERALIZED DERIVATIONS ON NON-ARCHIMEDEAN BANACH ALGEBRAS: A FIXED POINT APPROACH
    Gordji, Madjid Eshaghi
    Kim, Gwang Hui
    Lee, Jung Rye
    Park, Choonkil
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (02) : 308 - 315