Completely Invariant Escaping Set of Transcendental Semigroup

2018/04/30 by Bishnu Hari Subedi, Ajaya Kumar Singh, Subedi, Bishnu Hari +1
Computer Science · Decision Sciences · Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Equations Stability Results #Fuzzy and Soft Set Theory #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1804.11252

openalex publication_date 2018/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a non-trivial transcendental semigroup, escaping set I(S) is in general S-forward invariant and it is S-completely invariant if semigroup S is abelian. In the contrary of this result, we investigate completely invariant escaping set K(S) in different way even if semigroup S is not abelian and we discuss some properties and structure of such type of escaping set. Also, we establish some relations between completely invariant escaping set K(S) and the general escaping set I(S).

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