RECENT ADVANCES ON METRIC FIXED POINT THEORY: A REVIEW

被引:3
作者
Karapinar, E. [1 ,2 ]
机构
[1] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan
[2] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkiye
关键词
Fixed Point; Contraction; Metric Space; Generalized Metric Spaces; Banach Spaces; PARTIALLY ORDERED SETS; CONTRACTIONS; MAPPINGS; SPACES; EQUIVALENCE; ALPHA; (PSI;
D O I
10.30546/1683-6154.22.1.2023.3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this note, we underline that some of the recent metric fixed point results overlap or repeat the previously existing corresponding ones. Further, we observe that some recently published results, which we might perceive as a generalization from the first point of view, are in fact equivalent. For the clarification and clearing of the literature, this review paper claims to play a crucial role.
引用
收藏
页码:3 / 30
页数:28
相关论文
共 105 条
  • [1] COMMON FIXED POINT THEOREM FOR FOUR MAPPINGS SATISFYING GENERALIZED WEAK CONTRACTIVE CONDITION
    Abbas, Mujahid
    Doric, Dragan
    [J]. FILOMAT, 2010, 24 (02) : 1 - 10
  • [2] Abdeljawad T, 2011, GAZI U J SCI, V24, P233
  • [3] Quasicone Metric Spaces and Generalizations of Caristi Kirk's Theorem
    Abdeljawad, Thabet
    Karapinar, Erdal
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2009,
  • [4] Agarwal R.P., 2014, ABSTR APPL ANAL, V2014
  • [5] Fixed Point Theorems in Quaternion-Valued Metric Spaces
    Ahmed, Ahmed El-Sayed
    Omran, Saleh
    Asad, Abdalla J.
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [6] A note on fixed point results in complex-valued metric spaces
    Al-Mezel, Saleh A.
    Alsulami, Hamed H.
    Karapinar, Erdal
    Khojasteh, Farshid
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [7] [Anonymous], 2012, Abstract and Applied Analysis, DOI DOI 10.1155/2012/793486
  • [8] [Anonymous], 1890, J. Math. Pures Appl.
  • [9] Remarks on some recent fixed point theorems
    Aydi, Hassen
    Karapinar, Erdal
    Samet, Bessem
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [10] COMMON FIXED POINT THEOREMS IN COMPLEX VALUED METRIC SPACES
    Azam, Akbar
    Fisher, Brian
    Khan, M.
    [J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2011, 32 (03) : 243 - 253