The Hyers-Ulam-Aoki Type Stability of Some Functional Equations on Banach Lattices
Nutefe Kwami Agbeko
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 63 (2015), p. 177-184 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:281250 
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     title = {The Hyers-Ulam-Aoki Type Stability of Some Functional Equations on Banach Lattices},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {63},
     year = {2015},
     pages = {177-184},
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     language = {en},
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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) pp. 177-184. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba63-2-6/