New types of continuity in 2-normed spaces

Author:

Çakalli Hüseyin1,Ersan Sibel1

Affiliation:

1. Maltepe University, Faculty of Arts and Sciences, Maltepe, İstanbul, Turkey

Abstract

A sequence (xn) of points in a 2-normed space X is statistically quasi-Cauchy if the sequence of difference between successive terms statistically converges to 0. In this paper we mainly study statistical ward continuity, where a function f defined on a subset E of X is statistically ward continuous if it preserves statistically quasi-Cauchy sequences of points in E. Some other types of continuity are also discussed, and interesting results related to these kinds of continuity are obtained in 2-normed space setting.

Publisher

National Library of Serbia

Subject

General Mathematics

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4. ROUGH STATISTICAL CONVERGENCE IN 2-NORMED SPACES;HONAM MATH J;2021

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