title: Topological properties of some sequences defined over 2-normed spaces.
abstract: The paper investigates some classes of real number sequences over 2-normed spaces defined by means of Orlicz functions, a bounded sequence of strictly positive real numbers, a multiplier and a normal paranormed sequence space. Relevant properties of such classes have been investigated. Moreover, relationships among different such classes of sequences have also been studied under various parameters and conditions. Finally, the spaces are investigated for some other useful properties. The conclusion section provides many interesting facts for further research.
authors.affiliation: Department of Mathematics, Gauhati University, Guwahati, 781014 India.
authors.forename: Hemen
authors.initials: H
authors.lastname: Dutta
authors.affiliation: Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia (UPM), 43400 Serdang, Selangor Malaysia.
authors.forename: Adem
authors.initials: A
authors.lastname: Kilicman
authors.affiliation: Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia (UPM), 43400 Serdang, Selangor Malaysia.
authors.forename: Omer
authors.initials: O
authors.lastname: Altun
keywords: 2-Norm; Completeness; Orlicz function; Paranormed space; Solidity