# On some generalized invariant means and their application to the stability of the Hyers-Ulam type

Annales Polonici Mathematici (1993)

- Volume: 58, Issue: 2, page 147-159
- ISSN: 0066-2216

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topRoman Badora. "On some generalized invariant means and their application to the stability of the Hyers-Ulam type." Annales Polonici Mathematici 58.2 (1993): 147-159. <http://eudml.org/doc/262251>.

@article{RomanBadora1993,

abstract = {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.},

author = {Roman Badora},

journal = {Annales Polonici Mathematici},

keywords = {Hyers-Ulam stability theorem; invariant mean; binary intersection property; invariant means; amenable semigroup; Banach space; stability; functional equation},

language = {eng},

number = {2},

pages = {147-159},

title = {On some generalized invariant means and their application to the stability of the Hyers-Ulam type},

url = {http://eudml.org/doc/262251},

volume = {58},

year = {1993},

}

TY - JOUR

AU - Roman Badora

TI - On some generalized invariant means and their application to the stability of the Hyers-Ulam type

JO - Annales Polonici Mathematici

PY - 1993

VL - 58

IS - 2

SP - 147

EP - 159

AB - 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.

LA - eng

KW - Hyers-Ulam stability theorem; invariant mean; binary intersection property; invariant means; amenable semigroup; Banach space; stability; functional equation

UR - http://eudml.org/doc/262251

ER -

## References

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