Generalized G-Metric Spaces

Hayoung Choi; Sejong Kim; Seung Yeop Yang

doi:10.5666/KMJ.2022.62.4.773

Generalized G-Metric Spaces

Hayoung Choi, Sejong Kim, Seung Yeop Yang

Chungbuk National University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	773-785
Number of pages	13
Journal	Kyungpook Mathematical Journal
Volume	62
Issue number	4
DOIs	https://doi.org/10.5666/KMJ.2022.62.4.773
State	Published - 2022

Keywords

G-metric space
Generalized g-metric space

Access to Document

10.5666/KMJ.2022.62.4.773

Cite this

@article{77d045706cbd47c99894a4d6ec51f561,

title = "Generalized G-Metric Spaces",

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",

author = "Hayoung Choi and Sejong Kim and Yang, {Seung Yeop}",

note = "Publisher Copyright: {\textcopyright} Kyungpook Mathematical Journal",

year = "2022",

doi = "10.5666/KMJ.2022.62.4.773",

language = "English",

volume = "62",

pages = "773--785",

journal = "Kyungpook Mathematical Journal",

issn = "1225-6951",

publisher = "Kyungmoon Publishing",

number = "4",

}

TY - JOUR

T1 - Generalized G-Metric Spaces

AU - Choi, Hayoung

AU - Kim, Sejong

AU - Yang, Seung Yeop

N1 - Publisher Copyright: © Kyungpook Mathematical Journal

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

KW - G-metric space

KW - Generalized g-metric space

UR - http://www.scopus.com/inward/record.url?scp=85146680181&partnerID=8YFLogxK

U2 - 10.5666/KMJ.2022.62.4.773

DO - 10.5666/KMJ.2022.62.4.773

M3 - Article

AN - SCOPUS:85146680181

SN - 1225-6951

VL - 62

SP - 773

EP - 785

JO - Kyungpook Mathematical Journal

JF - Kyungpook Mathematical Journal

IS - 4

ER -

Generalized G-Metric Spaces

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this