The Hyers–Ulam–Aoki Type Stability of Some Functional Equations on Banach Lattices
Tom 63 / 2015
Bulletin Polish Acad. Sci. Math. 63 (2015), 177-184 MSC: Primary 39B82; Secondary 46B30, 46B42. DOI: 10.4064/ba63-2-6
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.