Fixed Point Approach: Ulam Stability Results of Functional Equation in Non-Archimedean Fuzzy ?-2-Normed Spaces and Non-Archimedean Banach Spaces

被引：0
|
作者：
Tamilvanan, Kandhasamy [1 ]
Alkhaldi, Ali H. [2 ]
Agarwal, Ravi P. [3 ]
Alanazi, Abdulaziz M. [4 ]
机构：
[1] RMK Engn Coll, Fac Sci & Humanities, Dept Math, Srivilliputhur 601206, Tamil Nadu, India
[2] King Khalid Univ, Coll Sci, Dept Math, Abha 61421, Saudi Arabia
[3] Texas A&M Univ Kingsville, Dept Math, 700 Univ Blvd, Kingsville, TX 78363 USA
[4] Univ Tabuk, Dept Math, Tabuk 71491, Saudi Arabia
来源：
MATHEMATICS | 2023年 / 11卷 / 02期
关键词：
non-Archimedean phi-2-normed space; fixed point; quadratic-additive functional equation;
D O I：
10.3390/math11020270
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, we introduce a new type of generalized mixed-type quadratic-additive functional equation and obtain its general solution. The main goal of this work is to investigate Ulam stability of this mixed type of quadratic-additive functional equation in the setting of non-Archimedean fuzzy phi-2-normed space and non-Archimedean Banach space using the direct and fixed point approaches by taking into our account two cases: even mapping and odd mapping.
引用
收藏
页数：24
相关论文
共 50 条
  • [1] On the Mazur-Ulam problem in non-Archimedean fuzzy 2-normed spaces
    Koh, Heejeong
    Kang, Dongseung
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [2] On the Mazur-Ulam problem in non-Archimedean fuzzy 2-normed spaces
    Heejeong Koh
    Dongseung Kang
    [J]. Journal of Inequalities and Applications, 2013
  • [3] ON FIXED POINT THEOREM IN NON-ARCHIMEDEAN FUZZY NORMED SPACES
    Egwe, M. E.
    [J]. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2020, 18 (01): : 99 - 103
  • [4] A Fixed Point Approach to Ulam Stability Problem for Cubic and Quartic Mappings in Non-Archimedean Fuzzy Normed Spaces
    Chugh, Renu
    Sushma
    [J]. WORLD CONGRESS ON ENGINEERING, WCE 2010, VOL III, 2010, : 1931 - 1934
  • [5] Additive ρ-functional inequalities in non-Archimedean 2-normed spaces
    Wang, Zhihua
    Park, Choonkil
    Shin, Dong Yun
    [J]. AIMS MATHEMATICS, 2021, 6 (02): : 1905 - 1919
  • [6] Stability of Frechet functional equation in non-Archimedean normed spaces
    Mirmostafaee, Alireza Kamel
    [J]. MATHEMATICAL COMMUNICATIONS, 2012, 17 (02) : 511 - 524
  • [7] A fixed point approach to approximate quadratic functional equation in non-Archimedean L*-fuzzy normed spaces
    Shokri, Javad
    Park, Choonkil
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2020, 38 (04) : 4265 - 4272
  • [8] A fixed point approach to the stability of nonic functional equation in non-Archimedean spaces
    Xu, Tian-Zhou
    Ding, Yali
    Rassias, John Michael
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 22 (02) : 359 - 368
  • [9] The stability of the additive Cauchy functional equation in non-Archimedean fuzzy normed spaces
    Mihet, Dorel
    [J]. FUZZY SETS AND SYSTEMS, 2010, 161 (16) : 2206 - 2212
  • [10] The Stability of a Quadratic Functional Equation over Fuzzy Normed Spaces of non-Archimedean
    Wang, Sanfu
    Qi, Chun
    Shen, Yonghong
    Xie, Baoli
    [J]. 2015 12TH INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY (FSKD), 2015, : 590 - 594
12345