GENERALIZED METRIC SPACES AND LACUNARY STATISTICAL CONVERGENCE

被引:0
作者
Kucuk, Serife Selcan [1 ]
Gumus, Hafize [2 ]
机构
[1] Necmettin Erbakan Univ, Inst Sci, Konya, Turkey
[2] Necmettin Erbakan Univ, Dept Math, Konya, Turkey
来源
JOURNAL OF MATHEMATICAL ANALYSIS | 2022年 / 13卷 / 06期
关键词
Statistical convergence; lacunary sequences; FIXED-POINT THEOREMS;
D O I
10.54379/JMA-2022-6-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this study, we examine lacunary statistical convergence on g-metric spaces. g-metric spaces are metric spaces that have been gener-alized by defining the distance concept between n + 1 points. In this sense, we denote the relationships between gS, gS theta, gN theta and gC1 which we have found to be related to each other.
引用
收藏
页码:16 / 24
页数:9
相关论文
共 31 条
  • [1] Statistical Convergence in g-Metric Spaces
    Abazari, Rasoul
    [J]. FILOMAT, 2022, 36 (05) : 1461 - 1468
  • [2] Choi H., 2018, Arxive: 1804.03651v1
  • [3] Connor J.S., 1988, ANALYSIS-UK, V8, P47, DOI DOI 10.1524/ANLY.1988.8.12.47
  • [4] Dhage BC, 1992, B CALCUTTA MATH SOC, V84, P329
  • [5] Statistical convergence in topology
    Di Maio, Giuseppe
    Kocinac, Ljubisa D. R.
    [J]. TOPOLOGY AND ITS APPLICATIONS, 2008, 156 (01) : 28 - 45
  • [6] ERDOS P, 1989, P LOND MATH SOC, V59, P417
  • [7] Fast H., 1951, COLLOQ MATH-WARSAW, V2, P241, DOI DOI 10.4064/CM-2-3-4-241-244
  • [8] FREEDMAN AR, 1978, P LOND MATH SOC, V37, P508
  • [9] Fridy J.A., 1985, ANALYSIS-UK, V5, P301, DOI DOI 10.1524/ANLY.1985.5.4.301
  • [10] LACUNARY STATISTICAL SUMMABILITY
    FRIDY, JA
    ORHAN, C
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 173 (02) : 497 - 504