On iteration semigroups of mean-type mappings and invariant means

Aequationes mathematicae - Tập 64 - Trang 297-303 - 2002
J. Matkowski1
1Institute 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: [email protected], , PL

Tóm tắt

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.