Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 22, No. 2, pp. 193-207 (2006)

Quasi-sums in several variables

Gyula Maksa and Enikő Nizsalóczki

University of Debrecen

Abstract: In this note we introduce the notions of quasi-sums and of the local quasi-sums in several variables, respectively. We prove that the local quasi-sums are also quasi-sums. We show how this result can be applied to find the continuous solutions of a particular aggregation equation that are strictly monotonic in each variable. Finally we give a proof of a known result on the aggregation equation shorter than that is given in the literature.

Keywords: Quasi-sum, local quasi-sum, equation of aggregation

Classification (MSC2000): 39B22

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