Influence of theta-Metric Spaces on the Diameter of Rough Weighted I-2-Limit Set

Abstract

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 I-2-convergence over theta-metric spaces. Also we exercise the behavior of weighted I-2-cluster points set over theta-metric spaces. Based on the new notion we vividly discuss some important results and perceive how the existing results are vacillating.