## Banach Journal of Mathematical Analysis

### Recent developments of the conditional stability of the homomorphism equation

#### Abstract

The issue of Ulam's type stability of an equation is understood in the following way: when a mapping which satisfies the equation approximately (in some sense), it is "close" to a solution of it. In this expository paper, we present a survey and a discussion of selected recent results concerning such stability of the equations of homomorphisms, focussing especially on some conditional versions of them.

#### Article information

Source
Banach J. Math. Anal., Volume 9, Number 3 (2015), 278-326.

Dates
First available in Project Euclid: 19 December 2014

https://projecteuclid.org/euclid.bjma/1419001718

Digital Object Identifier
doi:10.15352/bjma/09-3-20

Mathematical Reviews number (MathSciNet)
MR3296140

Zentralblatt MATH identifier
1312.39031

#### Citation

Brzdęk, Janusz; Fechner, Włodzimierz; Sal Moslehian, Mohammad; Sikorska, Justyna. Recent developments of the conditional stability of the homomorphism equation. Banach J. Math. Anal. 9 (2015), no. 3, 278--326. doi:10.15352/bjma/09-3-20. https://projecteuclid.org/euclid.bjma/1419001718

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