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Generalized G-Metric Spaces

최하영|김세정|양승엽
경북대학교 자연과학대학 수학과|2022.12|Kyungpook Mathematical Journal|제62권 제4호|pp. 773-785|DOI 10.5666/KMJ.2022.62.4.773

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키워드

G-metric spaceGeneralized G-matric space
주제분류수학

초록

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.

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.

참고문헌 (12)

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  6. K. S. Ha, "Strictly convex and strictly 2-convex 2-normed spaces", Math. Japonica, 33(3), pp.375~384 (1988)
  7. B. Mordukhovich, "The smallest enclosing ball problem and the smallest intersecting ball problem: existence and uniqueness of solutions", Optim. Lett, 7(5), pp.839~853 (2013)
  8. Z. Mustafa, "Some remarks concerning D-metric spaces", International Conference on Fixed Point Theory and Applications, pp.189~198 (2004), Yokohama Publ
  9. Z. Mustafa, "A new approach to generalized metric spaces", J. Nonlinear Convex Anal, 7(2), pp.289~297 (2006)
  10. M. Padberg, "A branch-and-cut algorithm for the resolu-tion of large-scale symmetric traveling salesman problems", SIAM Review, 33(1), pp.60~100 (1991)
  11. J. J. Sylvester, "A question in the geometry of situation", Q. J. Pure Appl. Math, 79(1) (1857)
  12. S. Verblunsky, "On the shortest path through a number of points", Proc. Am. Math. Soc, 2(6), pp.904~913 (1951)

관련 논문AI추천

Some Fixed Point Theorems on G-Expansive MappingsSushanta Kumar Mohanta경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제2호Some Common Fixed Point Theorems via Generalized c- DistanceRima Maitra, Sushanta Kumar Mohanta경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제1호Some Properties of S-metric Spaces and Fixed Point ResultsIshak Altun, Mohammad Ali Salahshour, Nabi Shobe, Shaban Sedghi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제1호Common Fixed Point Theorems for a class of weakly compatible mappings in D-Metric Spaces김종규, Nabi Shobe, Shaban Sedghi영남수학회 · East Asian Mathematical Journal2009 · 제25권 제1호VARIOUS NEW FIXED POINT RESULTS IN Gb METRIC SPACESNAVEEN SHARMA, RAJANI SAINI, VISHAL GUPTA장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2021 · 제24권 제4호Partial S-­metric Spaces and Fixed Point Results이정례, Maryam Simkhah Asil, Shaban Sedghi한국수학교육학회 · 이론수학과 교직수학2022 · 제29권 제4호

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