The Hyers-Ulam-Aoki Type Stability of Some Functional Equations on Banach Lattices

Nutefe Kwami Agbeko. "The Hyers-Ulam-Aoki Type Stability of Some Functional Equations on Banach Lattices." Bulletin of the Polish Academy of Sciences. Mathematics 63.2 (2015): 177-184. <http://eudml.org/doc/281250>.

@article{NutefeKwamiAgbeko2015,
abstract = {In Agbeko (2012) the Hyers-Ulam-Aoki stability problem was posed in Banach lattice environments with the addition in the Cauchy functional equation replaced by supremum. In the present note we restate the problem so that it relates not only to supremum but also to infimum and their various combinations. We then propose some sufficient conditions which guarantee its solution.},
author = {Nutefe Kwami Agbeko},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Banach lattices; functional equation; Hyers-Ulam-Aoki stability},
language = {eng},
number = {2},
pages = {177-184},
title = {The Hyers-Ulam-Aoki Type Stability of Some Functional Equations on Banach Lattices},
url = {http://eudml.org/doc/281250},
volume = {63},
year = {2015},
}

TY - JOUR
AU - Nutefe Kwami Agbeko
TI - The Hyers-Ulam-Aoki Type Stability of Some Functional Equations on Banach Lattices
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2015
VL - 63
IS - 2
SP - 177
EP - 184
AB - In Agbeko (2012) the Hyers-Ulam-Aoki stability problem was posed in Banach lattice environments with the addition in the Cauchy functional equation replaced by supremum. In the present note we restate the problem so that it relates not only to supremum but also to infimum and their various combinations. We then propose some sufficient conditions which guarantee its solution.
LA - eng
KW - Banach lattices; functional equation; Hyers-Ulam-Aoki stability
UR - http://eudml.org/doc/281250
ER -