On iteration semigroups of mean-type mappings and invariant means |
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| Authors: | J Matkowski |
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| Institution: | Institute of Mathematics, University of Zielona Góra, Podgórna 50, PL-85-246 Zielona Góra, Poland? and?Institute of Mathematics, Silesian University, Bankowa 14, PL-40-007 Katowice, Poland? e-mail: J.Matkowski@im.uz.zgora.pl, PL
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| Abstract: | Summary. Iteration semigroups of weighted quasi-arithmetic mean-type mappings are considered. Existence and uniqueness of a mean which is invariant with respect to a continuous semigroup of mean-type mapping is proved. |
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