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The main purpose of this paper is to study certain lattice-valued maps through associated functional equations and inequalities. We deal with morphisms between an algebraic structure and an ordered structure.… Click to show full abstract
The main purpose of this paper is to study certain lattice-valued maps through associated functional equations and inequalities. We deal with morphisms between an algebraic structure and an ordered structure. Next, we solve a separation problem for the inequalities studied. Moreover, we discuss the Hyers-Ulam stability of our main equation. Our research is motivated by the notion of optimal average, which was introduced by the first author in 1994.
Keywords:
optimal average;
notion optimal;
valued maps;
lattice valued
Journal Title: Acta Mathematica Hungarica
Year Published: 2017
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Journal Title: Acta Mathematica Hungarica
Year Published: 2017
Link to full text (if available)
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recommendations!