On lattice-valued maps stemming from the notion of optimal average

DOI10.1007/S10474-017-0719-1zbMath1389.39044OpenAlexW2605498722WikidataQ114859282 ScholiaQ114859282MaRDI QIDQ1677589

Ewa Rak, Włodzimierz Fechner, Nutefe Kwami Agbeko

Publication date: 10 November 2017

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-017-0719-1

zbMATH Keywords

latticefunctional equationsemigroupfunctional inequalityoptimal average

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Mappings of semigroups (20M15) Systems of functional equations and inequalities (39B72) Ordered topological linear spaces, vector lattices (46A40) Lattices (06B99)

Related Items (1)

Survey on Cauchy Functional Equation in Lattice Environments

Cites Work

• On the abstract Hahn-Banach theorem due to Rodé
• Eine abstrakte Version des Satzes von Hahn-Banach
• On optimal averages
• On the stability of the linear transformation in Banach spaces
• The extension of some Orlicz space results to the theory of optimal measure
• On separation theorems for subadditive and superadditive functionals
• Interpolation of additive functionals
• Sur les espaces métriques linéaires (II)
• On the Stability of the Linear Functional Equation
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