Iterative fixed point techniques in generalized Ulam stability

DOI10.1007/s00025-023-01977-5OpenAlexW4385607194MaRDI QIDQ6171704

Dan M. Dăianu

Publication date: 14 August 2023

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-023-01977-5

zbMATH Keywords

Ulam-type stabilityfixed points equationhomomorphisms equationstability couples

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Functional equations for real functions (39B22) Functional equations for functions with more general domains and/or ranges (39B52) Stability theory for difference equations (39A30)

Cites Work

• Editorial: Ulam's type stability and fixed points methods 2016
• Fixed points and generalized Hyers-Ulam stability
• Applications of fixed point theorems to the Hyers-Ulam stability of functional equations -- a survey
• A fixed point approach to stability of functional equations
• Recursive procedure in the stability of Fréchet polynomials
• Samples of homogeneous functions
• Sections in functional equations: stability and hyperstability
• Recent developments of the conditional stability of the homomorphism equation
• Normed versus topological groups: Dichotomy and duality
• The Stability of Certain Functional Equations
• Fixed point approach to the stability of generalized polynomials
• Ulam Type Stability
• On the Stability of the Linear Functional Equation
• General criteria for hyperstability of Cauchy-type equations

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