Strongly Lacunary Ward Continuity in 2-Normed Spaces-Reference-Cited by-同舟云学术

Strongly Lacunary Ward Continuity in 2-Normed Spaces

Published:2014 Issue: Volume:2014 Page:1-5
ISSN:2356-6140
Container-title:The Scientific World Journal
language:en
Short-container-title:The Scientific World Journal

Author:

Çakalli Hüseyin¹,Ersan Sibel²

Affiliation:

1. Department of Mathematics, Maltepe University, Marmara Eğitim Köyü, 34857 İstanbul, Turkey

2. Faculty of Engineering and Natural Sciences, Maltepe University, Marmara Eğitim Köyü, 34857 İstanbul, Turkey

Abstract

A functionfdefined on a subsetEof a 2-normed spaceXis strongly lacunary ward continuous if it preserves strongly lacunary quasi-Cauchy sequences of points inE; that is,(f(xk))is a strongly lacunary quasi-Cauchy sequence whenever (xk) is strongly lacunary quasi-Cauchy. In this paper, not only strongly lacunary ward continuity, but also some other kinds of continuities are investigated in 2-normed spaces.

Publisher

Hindawi Limited

Subject

General Environmental Science,General Biochemistry, Genetics and Molecular Biology,General Medicine

Link

http://downloads.hindawi.com/journals/tswj/2014/479679.pdf

Reference23 articles.

1. Untersuchungen �ber allgemeine Metrik

2. On a Generalized Notion of Convergence in a Banach Space

3. 2-metrische Räume und ihre topologische Struktur

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