A fixed point theorem and the Hyers-Ulam stability in Riesz spaces

被引:7
|
作者
Batko, Bogdan [1 ,2 ]
Brzdek, Janusz [1 ]
机构
[1] Pedag Univ, Dept Math, PL-30084 Krakow, Poland
[2] WSB NLU, Dept Math, PL-33300 Nowy Sacz, Poland
来源
ADVANCES IN DIFFERENCE EQUATIONS | 2013年
关键词
Hyers-Ulam type stability; fixed point; Riesz space; square symmetric groupoid; CAUCHY FUNCTIONAL-EQUATION;
D O I
10.1186/1687-1847-2013-138
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove a fixed point theorem and show its applications in investigations of the Hyers-Ulam type stability of some functional equations (in single and many variables) in Riesz spaces.
引用
收藏
页数:12
相关论文
共 50 条
  • [31] Ulam-Hyers stability, well-posedness and limit shadowing property of the fixed point problems in M-metric spaces
    Pansuwan, Adoon
    Sintunavarat, Wutiphol
    Choi, Jae Young
    Cho, Yeol Je
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (06): : 4489 - 4499
  • [32] Fuzzy Hyers-Ulam approximation of a mixed AQ mapping
    Hassan Azadi Kenary
    Saedeh Talebzadeh
    Hamid Rezaei
    Jung Rye Lee
    Dong Yun Shin
    Journal of Inequalities and Applications, 2012
  • [33] Fuzzy Hyers-Ulam approximation of a mixed AQ mapping
    Kenary, Hassan Azadi
    Talebzadeh, Saedeh
    Rezaei, Hamid
    Lee, Jung Rye
    Shin, Dong Yun
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [34] On an equation characterizing multi-additive-quadratic mappings and its Hyers-Ulam stability
    Bahyrycz, Anna
    Cieplinski, Krzysztof
    Olko, Jolanta
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 265 : 448 - 455
  • [35] EXISTENCE, UNIQUENESS AND ABSTRACT APPROACH TO HYERS-ULAM STABILITY IN BANACH LATTICE ALGEBRAS AND AN APPLICATION
    Benkaci-Ali, Nadir
    JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2023, 35 (03) : 259 - 276
  • [36] Generalized Ulam-Hyers stability and well-posedness for fixed point equation via α-admissibility
    Supak Phiangsungnoen
    Poom Kumam
    Journal of Inequalities and Applications, 2014
  • [37] Generalized Ulam-Hyers stability and well-posedness for fixed point equation via α-admissibility
    Phiangsungnoen, Supak
    Kumam, Poom
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014, : 1 - 12
  • [38] ULAM-HYERS STABILITY OF OPERATORIAL INCLUSIONS IN COMPLETE GAUGE SPACES
    Petru, T. P.
    Bota, M. -F.
    FIXED POINT THEORY, 2012, 13 (02): : 641 - 649
  • [39] <mml:msup>C</mml:msup>-Algebra valued fuzzy normed spaces with application of Hyers-Ulam stability of a random integral equation
    Chaharpashlou, R.
    O'Regan, Donal
    Park, Choonkil
    Saadati, Reza
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01):
  • [40] COMPARATIVE STUDY ON HYERS-ULAM-RASSIAS STABILITY OF PEXIDER TYPE FUNCTIONAL EQUATION IN BANACH SPACES USING DIRECT METHOD AND FIXED POINT METHOD
    Mondal, Pratap
    Bhattacharyya, Rupak
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2024, 14 (03): : 934 - 945