G-Metric spaces in any number of arguments and related fixed-point theorems

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Roldแn A., Karapinar E., Kumam P.

Publisher: SpringerOpen

Publication year: 2014

Journal: Fixed Point Theory and Applications (1687-1820)

Volume number: 2014

ISSN: 1687-1820

eISSN: 1687-1812

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84899820891&doi=10.1186%2f1687-1812-2014-13&partnerID=40&md5=008a0ac8d5c1d3d3a0c804ddd0757892

Languages: English-Great Britain (EN-GB)

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Abstract

Inspired by the notion of Mustafa and Sims' G-metric space and the attention that this kind of metric has received in recent times, we introduce the concept of a G-metric space in any number of variables, and we study some of the basic properties. Then we prove that the family of this kind of metric is closed under finite products. Finally, we show some fixed-point theorems that improve and extend some well-known results in this field. ฉ 2014 Roldแn et al.; licensee Springer.

Keywords

Contractive mapping