On rough convergence in amenable semigroups and some properties

Article type: Research Article

Authors: Dündar, Erdinç^a | Ulusu, Uğur^{b; *}

Affiliations: [a] Department of Mathematics, Afyon Kocatepe University, Afyonkarahisar, Turkey | [b] Sivas Cumhuriyet University, Sivas, Turkey

Correspondence: [*] Corresponding author. Uğur Ulusu, Sivas Cumhuriyet University, 58140 Sivas, Turkey. E-mail: ugurulusu@cumhuriyet.edu.tr.

Abstract: The authors of the present paper, firstly, investigated relations between the notions of rough convergence and classical convergence, and studied on some properties of the rough convergence notion which the set of rough limit points and rough cluster points of a sequence of functions defined on amenable semigroups. Then, they examined the dependence of r-limit LIMrf of a fixed function f ∈ G on varying parameter r.

Keywords: Rough convergence, rough limit point, rough cluster point, Folner sequence, amenable semigroups

DOI: 10.3233/JIFS-211167

Journal: Journal of Intelligent & Fuzzy Systems, vol. 41, no. 1, pp. 2319-2324, 2021