Wijsman regularly ideal convergence of double sequences of sets

Article type: Research Article

Authors: Dündar, Erdinç^{; *} | Akın, Nimet Pancaroğlu

Affiliations: Department of Mathematics, Faculty of Science and Literature, Afyon Kocatepe University, Afyonkarahısar, Turkey

Correspondence: [*] Corresponding author. Erdinç Dündar, Department of Mathematics, Faculty of Science and Literature, Afyon Kocatepe University, 03200, Afyonkarahisar, Turkey. E-mail: [email protected].

Abstract:  In this paper, we introduce the notions of regularly (IW2,IW) -convergence, regularly (IW2*,IW*) -convergence, regularly (IW2,IW) -Cauchy and regularly (IW2*,IW*) -Cauchy double sequence of sets and investigate the relationship among them.

Keywords: Regularly ideal convergence, double sequence of sets, Wijsman convergence

DOI: 10.3233/JIFS-190626

Journal: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 6, pp. 8159-8166, 2019