Stability of the general form of quadratic-quartic functional equations in non-Archimedean L-fuzzy normed spaces

被引：5
|
作者：
Bodaghi, Abasalt [1 ]
Narasimman, Pasupathi [2 ]
机构：
[1] Islamic Azad Univ, Islamshahr Branch, Young Researchers & Elite Club, Islamshahr, Iran
[2] Thiruvalluvar Univ, Coll Arts & Sci, Dept Math, Tirupattur 635901, Tamil Nadu, India
来源：
TBILISI MATHEMATICAL JOURNAL | 2018年 / 11卷 / 01期
关键词：
Fuzzy normed space; quartic functioanl equation; quadratic functional equation; fuzzy generalized Hyers-Ulam stability;
D O I：
10.2478/tmj-2018-0002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce and obtain the general solution of a. new generalized mixed quadratic and quartic functional equation and investigate its stability in non-Archimedean L-fuzzy normed spaces.
引用
收藏
页码：15 / 29
页数：15
相关论文
共 50 条
  • [41] Stability of an AQCQ functional equation in non-Archimedean (n,β)-normed spaces
    Liu, Yachai
    Yang, Xiuzhong
    Liu, Guofen
    DEMONSTRATIO MATHEMATICA, 2019, 52 (01) : 130 - 146
  • [42] On Ulam Stability of Functional Equations in Non-Archimedean Spaces
    Cieplinski, Krzysztof
    SYMMETRY-BASEL, 2025, 17 (01):
  • [43] NON-ARCHIMEDEAN STABILITY OF QUADRATIC EQUATIONS
    Mirmostafaee, Alireza Kamel
    FIXED POINT THEORY, 2010, 11 (01): : 67 - 75
  • [44] Stability for Functional Equation of Mixed Type in Non-Archimedean Normed Spaces
    Chang, Ick-Soon
    Lee, Yang-Hi
    JOURNAL OF FUNCTION SPACES, 2014, 2014
  • [45] Fixed Point Approach: Ulam Stability Results of Functional Equation in Non-Archimedean Fuzzy ?-2-Normed Spaces and Non-Archimedean Banach Spaces
    Tamilvanan, Kandhasamy
    Alkhaldi, Ali H.
    Agarwal, Ravi P.
    Alanazi, Abdulaziz M.
    MATHEMATICS, 2023, 11 (02)
  • [46] On the Stability of a Quadratic Functional Equation Over Non-Archimedean Spaces
    Bettencourt, Gastao
    Mendes, Sergio
    FILOMAT, 2021, 35 (08) : 2693 - 2704
  • [47] ADDITIVE ρ-FUNCTIONAL INEQUALITIES IN NON-ARCHIMEDEAN NORMED SPACES
    Park, Choonkil
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2015, 9 (02): : 397 - 407
  • [48] The Jensen functional equation in non-Archimedean normed spaces
    Moslehian, Mohammad Sal
    JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2009, 7 (01): : 13 - 24
  • [49] A General System of Nonlinear Functional Equations in Non-Archimedean Spaces
    Ghaemi, Mohammad Bagher
    Majani, Hamid
    Gordji, Madjid Eshaghi
    KYUNGPOOK MATHEMATICAL JOURNAL, 2013, 53 (03): : 419 - 433
  • [50] The new investigation of the stability of mixed type additive-quartic functional equations in non-Archimedean spaces
    Thanyacharoen, Anurak
    Sintunavarat, Wutiphol
    DEMONSTRATIO MATHEMATICA, 2020, 53 (01) : 174 - 192
12345