On Some Recent Developments in Ulam's Type Stability

By N. Brillouët-Belluot, Janusz Brzdek, Krzysztof Cieplinski. 2012

218 citations recorded by the source corpus.

We present a survey of some selected recent developments (results and methods) in the theory of Ulam's type stability. In particular we provide some information on hyperstability and the fixed point methods.

Subfields: Algebra and Number Theory, Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/9f7e7dac66a56b6e988d03c18d5e5e16031b9cb4

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In Algebra and Number Theory

In Applied Mathematics

In Geometry and Topology

Citations in the corpus

Hyperstability and Superstability (2013, unknown): “, [3–11]).”
On Ulam’s Type Stability of the Linear Equation and Related Issues (2014, background): “In this paper, we focus on stability of a linear functional equation of the first order, in single variable and some related results; in this way, we complement to some extent the information provided in surveys [7–9, 25, 26].”
A Linear Functional Equation of Third Order Associated with the Fibonacci Numbers (2014, background): “Since then, numerous papers have been published on that subject and we refer to [3–6] for more details, some discussions, and further references; for examples of very recent results, see, for example, [7].”
Fixed Point Theory and the Ulam Stability (2014, background): “Our aim is to show connections between different fixed point theorems and the theory of stability, inspired by the problem of Ulam (see [5, 7, 9]).”