A new approach to fixed point theorems in compact 2-generalized metric spaces

被引：1
作者：
Dung, Nguyen Van [1 ]
机构：
[1] Dong Thap Univ, Dept Math Teacher Educ, Cao Lanh City, Dong Thap Provi, Vietnam
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2021年 / 115卷 / 01期
关键词：
Compact 2-generalized metric space; Fixed point; Continuity; BANACH-CACCIOPPOLI TYPE;
D O I：
10.1007/s13398-020-00972-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present a new approach to solve fixed point theorems in compact 2-generalized metric spaces. The approach is to show that the restriction of a given 2-generalized metric to the closure of a certain orbit is a metric. By using the new approach and constructing a counterexample, we completely answer the open question about the role of the continuity of the 2-generalized metric posed in Kadelburg and Radenovic (TWMS J Pure Appl Math 5:3-13, 2014).
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页数：8
相关论文
共 16 条
  • [1] Branciari A, 2000, PUBL MATH-DEBRECEN, V57, P31
  • [2] Fixed point of contractive mappings in generalized metric spaces
    Das, Pratulananda
    Dey, Lakshmi Kanta
    [J]. MATHEMATICA SLOVACA, 2009, 59 (04) : 499 - 504
  • [3] Edelstein M., 1962, J. Lond. Math. Soc, V1, P74, DOI DOI 10.1112/JLMS/S1-37.1.74
  • [4] Fixed points of (ψ, φ) contractions on rectangular metric spaces
    Erhan, Inci M.
    Karapinar, Erdal
    Sekulic, Tanja
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [5] Franklin S. P., 1965, Fund. Math, V57, P107
  • [6] Kadelburg Z, 2014, TWMS J PURE APPL MAT, V5, P3
  • [7] On fixed point of a Ljubomir Ciric quasi-contraction mapping in generalized metric spaces
    Kikina, Luljeta
    Kikina, Kristaq
    [J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 2013, 83 (03): : 353 - 358
  • [8] Fixed Point Theory in Distance Spaces
    Cobzas, S.
    [J]. STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2015, 60 (01): : 143 - 143
  • [9] Kumam P., 2014, Sarajevo Journal of Mathematics, V10, P209, DOI [10.5644/SJM.10.2.07, DOI 10.5644/SJM.10.2.07]
  • [10] Dung NV, 2018, RACSAM REV R ACAD A, V112, P1295, DOI 10.1007/s13398-017-0425-4
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