Generalized G-metric spaces

Hayoung Choi; Sejong Kim; Seung Yeop Yang∗

doi:10.5666/KMJ.2022.62.4.773

Article

Kyungpook Mathematical Journal 2022; 62(4): 773-785

Published online December 31, 2022

Generalized G-metric spaces

Hayoung Choi, Sejong Kim, Seung Yeop Yang∗

Department of Mathematics, Kyungpook National University, Daegu 41566, Republic of Korea
e-mail: hayoung.choi@knu.ac.kr

Department of Mathematics, Chungbuk National University, Cheongju 361-763, Republic of Korea
e-mail: skim@chungbuk.ac.kr

Department of Mathematics, Kyungpook National University, Daegu 41566, Republic of Korea
e-mail: seungyeop.yang@knu.ac.kr

Received: September 7, 2022; Accepted: December 12, 2022

Abstract

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Abstract

In this paper, we propose the notion of a distance between n points, called a g-metric, which is a further generalized G-metric. Indeed, it is shown that the g-metric with dimension 2 is the ordinary metric and the g-metric with dimension 3 is equivalent to the G-metric.

Keywords: G-metric space, Generalized G-metric space