Convexity and a Stone-type theorem for convex sets in abelian semigroup setting

Author:

Jarczyk Witold,Páles Zsolt

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference8 articles.

1. Holmes, R.B.: A Course on Optimization and Best Approximation. Lecture Notes in Mathematics. Springer-Verlag, Berlin (1972)

2. Jarczyk, W.: Almost convexity on abelian groups. Aequationes Math. 80(1–2), 141–154 (2010)

3. Jarczyk, W., Laczkovich, M.: Convexity on abelian groups. J. Convex Anal. 16(1), 33–48 (2009)

4. Jarczyk, W., Laczkovich, M.: Almost convex functions on locally compact abelian groups. Math. Inequal. Appl. 13(1), 217–225 (2010)

5. Páles, Z.S.: Characterization of quasideviation means. Acta Math. Acad. Sci. Hungar. 40(3–4), 243–260 (1982)

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1. Convexity properties of functions defined on metric Abelian groups;Aequationes mathematicae;2020-08-25

2. Convexity of sets in metric Abelian groups;Forum Mathematicum;2020-07-16

3. Support theorems in abstract settings;Publicationes Mathematicae Debrecen;2018-07-01

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