On Rough ℐ2-Convergence of Double Sequences. (2nd April 2016)

• Record Type: Journal Article
• Authors: Dündar, Erdínç
• Is Part Of: Numerical functional analysis and optimization. Volume 37:Number 4(2016)
• Page Start: 480
• Page End: 491
• Publication Date: 2016-04-02
• Subjects: Double sequence -- ideal convergence -- rough convergence; 40A05; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2015.1136326
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In this study, we introduce the notion of rough ℐ2 -convergence and the set of rough ℐ2 -limit points of a double sequence and obtained two rough ℐ2 -convergence criteria associated with this set. Later, we proved that this set is closed and convex. Finally, we examined the relationships between the set of cluster points and the set of rough ℐ2 -limit points of a double sequence.