On interpolative metric spaces

被引：0
|
作者：
Karapinar, Erdal [1 ,2 ]
机构：
[1] Atilim Univ, Dept Math, TR-06790 Incek, Ankara, Turkiye
[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40447, Taiwan
来源：
FILOMAT | 2024年 / 38卷 / 22期
关键词：
metric spaces; interpolative metric space; fixed point; Reich-Rus-Ciric type contraction; Kannan type contraction; Bianchini type contraction;
D O I：
10.2298/FIL2422729K
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this article is to expand the "open discussion" on the definition and necessity of the interpolation metric space and keep it on the agenda of researchers in nonlinear functional analysis. The secondary aim of this article is to indicate that the outcomes of this "open discussion" have the potential to stop the recent recession in the metric fixed point theory.
引用
收藏
页码：7729 / 7734
页数：6
相关论文
共 50 条
  • [21] QUASI-METRIC AND METRIC SPACES
    Schroeder, Viktor
    CONFORMAL GEOMETRY AND DYNAMICS, 2006, 10 : 355 - 360
  • [22] Metric-like spaces, partial metric spaces and fixed points
    A Amini-Harandi
    Fixed Point Theory and Applications, 2012
  • [23] A new generalization of metric spaces: rectangular M-metric spaces
    Ozgur, Nihal Yilmaz
    Mlaiki, Nabil
    Tas, Nihal
    Souayah, Nizar
    MATHEMATICAL SCIENCES, 2018, 12 (03) : 223 - 233
  • [24] Metric-like spaces, partial metric spaces and fixed points
    Amini-Harandi, A.
    FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [25] A new generalization of metric spaces: rectangular M-metric spaces
    Nihal Yılmaz Özgür
    Nabil Mlaiki
    Nihal Taş
    Nizar Souayah
    Mathematical Sciences, 2018, 12 : 223 - 233
  • [26] FIXED POINT RESULTS FROM SOFT METRIC SPACES AND SOFT QUASI METRIC SPACES TO SOFT G-METRIC SPACES
    Gungor, Nurcan Bilgili
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2020, 10 (01): : 118 - 127
  • [27] Double controlled metric-like spaces
    Nabil Mlaiki
    Journal of Inequalities and Applications, 2020
  • [28] FURTHER RESULTS ON 0-METRIC SPACES
    VAN Dung, Nguyen
    FIXED POINT THEORY, 2024, 25 (01): : 99 - 110
  • [29] METRIC SPACES AND SDG
    Kock, Anders
    THEORY AND APPLICATIONS OF CATEGORIES, 2017, 32 : 803 - 822
  • [30] Logics of metric spaces
    Kutz, Oliver
    Wolter, Frank
    Sturm, Holger
    Suzuki, Nobu-Yuki
    Zakharyaschev, Michael
    ACM Transactions on Computational Logic, 2003, 4 (02) : 260 - 294
12345