Geodesic
The Hyers–Ulam–Aoki Type Stability of Some Functional Equations on Banach Lattices
Nutefe Kwami Agbeko1
1 Institute of Mathematics University of Miskolc 3515 Miskolc-Egyetemváros, Hungary
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 63 (2015) no. 2, pp. 177-184.

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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.
DOI : 10.4064/ba63-2-6
Keywords: agbeko hyers ulam aoki stability problem posed banach lattice environments addition cauchy functional equation replaced supremum present note restate problem relates only supremum infimum their various combinations propose sufficient conditions which guarantee its solution

Nutefe Kwami Agbeko 1

1 Institute of Mathematics University of Miskolc 3515 Miskolc-Egyetemváros, Hungary 
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Nutefe Kwami Agbeko. The Hyers–Ulam–Aoki Type Stability of Some Functional Equations on Banach Lattices. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 63 (2015) no. 2, pp. 177-184. doi : 10.4064/ba63-2-6. http://geodesic.mathdoc.fr/articles/10.4064/ba63-2-6/

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