We present some extension of the concept of an invariant mean to a space of vector-valued mappings defined on a semigroup. Next, we apply it to the study of the stability of some functional equation.
@article{bwmeta1.element.bwnjournal-article-apmv58z2p147bwm,
author = {Roman Badora},
title = {On some generalized invariant means and their application to the stability of the Hyers-Ulam type},
journal = {Annales Polonici Mathematici},
volume = {58},
year = {1993},
pages = {147-159},
zbl = {0787.43003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv58z2p147bwm}
}
Roman Badora. On some generalized invariant means and their application to the stability of the Hyers-Ulam type. Annales Polonici Mathematici, Tome 58 (1993) pp. 147-159. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv58z2p147bwm/
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