Banach limit, fixed points and Ulam stability

被引：6
|
作者：
Brzdek, Janusz [1 ]
机构：
[1] AGH Univ Sci & Technol, Fac Appl Math, Mickiewicza 30, PL-30059 Krakow, Poland
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2022年 / 116卷 / 02期
关键词：
Banach limit; Fixed point; Function space; Ulam stability; LINEAR FUNCTIONAL-EQUATION;
D O I：
10.1007/s13398-022-01219-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show how to use the Banach limit to obtain a fixed point theorem for function spaces. We also present some applications of this result in Ulam stability.
引用
收藏
页数：16
相关论文
共 50 条
  • [1] Banach limit, fixed points and Ulam stability
    Janusz Brzdȩk
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022, 116
  • [2] Applications of Banach Limit in Ulam Stability
    Badora, Roman
    Brzdek, Janusz
    Cieplinski, Krzysztof
    SYMMETRY-BASEL, 2021, 13 (05):
  • [3] Banach Limit and Fixed Point Approach in the Ulam Stability of the Quadratic Functional Equation
    El-hady, El-sayed
    Brzdek, Janusz
    AXIOMS, 2025, 14 (03)
  • [4] Banach Limit and Ulam Stability of Nonhomogeneous Cauchy Equation
    El-hady, El-sayed
    Brzdek, Janusz
    MATHEMATICS, 2022, 10 (10)
  • [5] Fixed Points and Generalized Hyers-Ulam Stability
    Cadariu, L.
    Gavruta, L.
    Gavruta, P.
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [6] Ulam's Type Stability and Fixed Points Methods
    Brzdek, Janusz
    Cadariu, Liviu
    Cieplinski, Krzysztof
    Fosner, Ajda
    Lesniak, Zbigniew
    Xu, Bing
    JOURNAL OF FUNCTION SPACES, 2014, 2014
  • [7] Fixed points of a mapping and Hyers-Ulam stability
    Badora, Roman
    Brzdek, Janusz
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 413 (01) : 450 - 457
  • [8] Fixed Points and Hyers-Ulam-Rassias Stability of Cauchy-Jensen Functional Equations in Banach Algebras
    Choonkil Park
    Fixed Point Theory and Applications, 2007
  • [9] Fixed points and hyers-ulam-rassias stability of cauchy-jensen functional equations in banach algebras
    Park, Choonkil
    FIXED POINT THEORY AND APPLICATIONS, 2007, 2007 (1)
  • [10] Ulam's Type Stability and Fixed Points Methods 2016
    Brzdek, Janusz
    Cadariu, Liviu
    Cieplinski, Krzysztof
    Fosner, Ajda
    Lesniak, Zbigniew
    Xu, Bing
    JOURNAL OF FUNCTION SPACES, 2016, 2016
12345