On some generalized invariant means and their application to the stability of the Hyers-Ulam type
Annales Polonici Mathematici, Tome 58 (1993) no. 2, pp. 147-159
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.
Keywords:
Hyers-Ulam stability theorem, invariant mean, binary intersection property
@article{10_4064_ap_58_2_147_159,
author = {Roman Badora},
title = {On some generalized invariant means and their application to the stability of the {Hyers-Ulam} type},
journal = {Annales Polonici Mathematici},
pages = {147--159},
year = {1993},
volume = {58},
number = {2},
doi = {10.4064/ap-58-2-147-159},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-58-2-147-159/}
}
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%0 Journal Article %A Roman Badora %T On some generalized invariant means and their application to the stability of the Hyers-Ulam type %J Annales Polonici Mathematici %D 1993 %P 147-159 %V 58 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4064/ap-58-2-147-159/ %R 10.4064/ap-58-2-147-159 %G en %F 10_4064_ap_58_2_147_159
Roman Badora. On some generalized invariant means and their application to the stability of the Hyers-Ulam type. Annales Polonici Mathematici, Tome 58 (1993) no. 2, pp. 147-159. doi: 10.4064/ap-58-2-147-159
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