Survey on Recent Ulam Stability Results Concerning Derivations-Reference-Cited by-同舟云学术

Survey on Recent Ulam Stability Results Concerning Derivations

Published:2016 Issue: Volume:2016 Page:1-9
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Brzdęk Janusz¹^ORCID,Cădariu Liviu²^ORCID,Ciepliński Krzysztof³^ORCID,Fošner Ajda⁴^ORCID,Leśniak Zbigniew¹^ORCID

Affiliation:

1. Department of Mathematics, Pedagogical University, Podchorążych 2, 30-084 Kraków, Poland

2. Department of Mathematics, Politehnica University of Timişoara, Piaţa Victoriei 2, 300006 Timişoara, Romania

3. Faculty of Applied Mathematics, AGH University of Science and Technology, Mickiewicza 30, 30-059 Kraków, Poland

4. Faculty of Management, University of Primorska, Cankarjeva 5, SI-6104 Koper, Slovenia

Abstract

This is a survey presenting the most significant results concerning approximate (generalized) derivations, motivated by the notions of Ulam and Hyers-Ulam stability. Moreover, the hyperstability and superstability issues connected with derivations are discussed. In the section before the last one we highlight some recent outcomes on stability of conditions defining (generalized) Lie derivations.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2016/1235103.pdf

Reference76 articles.

1. On the Stability of the Linear Functional Equation

2. On the Stability of the linear Transformation in Banach Spaces.

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