Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Generalized G-Metric Spaces

  • Hayoung, Choi (Department of Mathematics, Kyungpook National University) ;
  • Sejong, Kim (Department of Mathematics, Chungbuk National University) ;
  • Seung Yeop, Yang (Department of Mathematics, Kyungpook National University)
  • Received : 2022.09.07
  • Accepted : 2022.12.12
  • Published : 2022.12.31
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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.

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Acknowledgement

All authors equally contribute this paper. This work of H. Choi was supported by 2022 Dongil Culture and Scholarship Foundation. The work of S. Kim was supported by the National Research Foundation of Korea grant funded by the Korea government (MIST) (NRF-2022R1A2C4001306). This work of S. Y. Yang was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. 2019R1C1C1007402).

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