Survey on Cauchy Functional Equation in Lattice Environments

Nutefe Kwami Agbeko ()
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Nutefe Kwami Agbeko: University of Miskolc, Institute of Mathematics

Chapter Chapter 1 in Ulam Type Stability, 2019, pp 1-46 from Springer

Abstract: Abstract By replacing in Cauchy functional equation the addition with the lattice operations we are able to formulate the Ulam’s stability problem in lattice environments. Various types of solution are formulated and proved similarly as their counterparts in addition environments. This survey contains a part of the habilitation thesis presented to the Department of Mathematics, University of Debrecen (cf. Agbeko, Studies on some addition-free environments. Habilitation Thesis submitted to the University of Debrecen. http://www.uni-miskolc.hu/~matagbek/Habilitation%20Thesis.pdf ) and the material in Agbeko and Szokol (Extracta Math 33:1–10, 2018).

Keywords: Functional equation; Functional inequality; Banach lattice; Ulam’s stability; Lattice semigroup; Primary 39B82, 06B99, 20M99; Secondary 39B42, 39B52, 46A40 (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/978-3-030-28972-0_1

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