Open AccessInfluence of θ-metric spaces on the diameter of rough weighted I2-limit set
Author(s) -
Sanjoy Ghosal,
María del Carmen Listán-García,
Manasi Mandal,
Mandobi Banerjee
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2003737g
Subject(s) - mathematics , metric space , norm (philosophy) , metric (unit) , limit (mathematics) , convergence (economics) , rough set , set (abstract data type) , limit set , convex metric space , pure mathematics , weighted arithmetic mean , discrete mathematics , mathematical analysis , statistics , artificial intelligence , computer science , operations management , political science , law , economics , programming language , economic growth
In this paper we continue our investigation of the recent summability notion introduced in [Math. Slovaca 69 (4) (2019) 871-890] (where rough weighted statistical convergence for double sequences is discussed over norm linear spaces) and introduce the notion of rough weighted I2-convergence over ?-metric spaces. Also we exercise the behavior of weighted I2-cluster points set over ?-metric spaces. Based on the new notion we vividly discuss some important results and perceive how the existing results are vacillating.