Existence of invariant idempotent measures by contractivity of idempotent Markov operators

被引：3
作者：
da Cunha, Rudnei D. [1 ]
Oliveira, Elismar R. [1 ]
Strobin, Filip [2 ]
机构：
[1] Univ Fed Rio Grande do Sul, Inst Matemat & Estat, Ave Bento Goncalves 9500, BR-91500900 Porto Alegre, RS, Brazil
[2] Lodz Univ Technol, Wolczanska 215, PL-90924 Lodz, Poland
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2023年 / 25卷 / 01期
关键词：
Invariant idempotent measures; iterated function systems; atractors; idempotent Markov operators;
D O I：
10.1007/s11784-022-01004-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that the idempotent Markov operator generated by contractive max plus normalized iterated function system (IFS) is also a contractive map w.r.t. natural metrics on the space of idempotent measures. This gives alternative proofs of the existence of invariant idempotent measures for such IFSs.
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页数：11
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