Hyers-Ulam-Rassias stability of the additive-quadratic mappings in non-Archimedean Banach spaces

被引:0
作者
C Park
H Azadi Kenary
TM Rassias
机构
[1] Hanyang University,Department of Mathematics
[2] College of Sciences,Department of Mathematics
[3] Yasouj University,Department of Mathematics
[4] National Technical University of Athens,undefined
来源
Journal of Inequalities and Applications | / 2012卷
关键词
Hyers-Ulam stability; fixed point method; non-Archimedean normed spaces;
D O I
暂无
中图分类号
学科分类号
摘要
Using the fixed point and direct methods, we prove the generalized Hyers-Ulam stability of the following additive-quadratic functional equation in non-Archimedean normed spaces
引用
收藏
相关论文
共 50 条
  • [1] Hyers-Ulam-Rassias stability of the additive-quadratic mappings in non-Archimedean Banach spaces
    Park, C.
    Kenary, H. Azadi
    Rassias, T. M.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [2] Non-Archimedean Hyers-Ulam-Rassias stability of m-variable functional equation
    Kenary, H. Azadi
    Rezaei, H.
    Sharifzadeh, M.
    Shin, D. Y.
    Lee, J. R.
    ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [3] Non-Archimedean Hyers-Ulam-Rassias stability of m-variable functional equation
    H Azadi Kenary
    H Rezaei
    M Sharifzadeh
    DY Shin
    JR Lee
    Advances in Difference Equations, 2012
  • [4] STABILITY OF ADDITIVE-QUADRATIC ρ-FUNCTIONAL EQUATIONS IN NON-ARCHIMEDEAN INTUITIONISTIC FUZZY BANACH SPACES
    Saha, P.
    Samanta, T. K.
    Mondal, P.
    Choudhury, B. S.
    MATEMATICKI VESNIK, 2020, 72 (02): : 154 - 164
  • [5] The Hyers-Ulam stability of an additive-quadratic s-functional inequality in Banach spaces
    Chaobankoh, Tanadon
    Suparatulatorn, Raweerote
    Park, Choonkil
    Cho, Yeol Je
    RICERCHE DI MATEMATICA, 2024, 73 (02) : 1029 - 1044
  • [6] The Hyers–Ulam stability of an additive-quadratic s-functional inequality in Banach spaces
    Tanadon Chaobankoh
    Raweerote Suparatulatorn
    Choonkil Park
    Yeol Je Cho
    Ricerche di Matematica, 2024, 73 : 1029 - 1044
  • [7] ULAM STABILITY OF AN ADDITIVE-QUADRATIC FUNCTIONAL EQUATION IN BANACH SPACES
    Hwang, Inho
    Park, Choonkil
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2020, 14 (02): : 421 - 436
  • [8] ORTHOGONAL STABILITY OF AN ADDITIVE-QUADRATIC FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN SPACES
    Lee, Jung Rye
    Park, Choonkil
    Alaca, Cihangir
    Shin, Dong Yun
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2012, 14 (06) : 1014 - 1025
  • [9] Hyers-Ulam Stability of Quadratic Functional Equation Based on Fixed Point Technique in Banach Spaces and Non-Archimedean Banach Spaces
    Tamilvanan, Kandhasamy
    Alanazi, Abdulaziz M.
    Alshehri, Maryam Gharamah
    Kafle, Jeevan
    MATHEMATICS, 2021, 9 (20)
  • [10] On Hyers–Ulam stability of two functional equations in non-Archimedean spaces
    Anna Bahyrycz
    Krzysztof Ciepliński
    Jolanta Olko
    Journal of Fixed Point Theory and Applications, 2016, 18 : 433 - 444