Best Proximity Points and Fixed Points Results for Noncyclic and Cyclic Fisher Quasi-contractions

被引：7
作者：
Safari-Hafshejani, Akram [1 ]
Amini-Harandi, Alireza [2 ]
Fakhar, Majid [2 ]
机构：
[1] Payame Noor Univ, Dept Pure Math, Tehran, Iran
[2] Univ Isfahan, Dept Math, Esfahan, Iran
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2019年 / 40卷 / 05期
关键词：
Best proximity point; fixed point; noncyclic and cyclic Fisher quasi-contraction mappings; WUC property; THEOREMS; EXISTENCE; MAPPINGS; BANACH;
D O I：
10.1080/01630563.2019.1566246
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, in the setting of metric spaces we introduce the notions of noncyclic and cyclic Fisher quasi-contraction mappings. We establish the existence of an optimal pair of fixed points for a noncyclic Fisher quasi-contraction mapping and iterative algorithms are furnished to determine such optimal pair of fixed points. For a cyclic Fisher quasi-contraction mapping, we also study the existence of best proximity points. Presented results extend and improve some recent results in the literature.
引用
收藏
页码：603 / 619
页数：17
相关论文
共 50 条
  • [31] The Best Proximity Points for Weak MT-cyclic Reich Type Contractions
    Barootkoob, S.
    Lakzian, H.
    Mitrovic, Z. D.
    JOURNAL OF MATHEMATICAL EXTENSION, 2022, 16 (05)
  • [32] Some new results on fixed and best proximity points in preordered metric spaces
    Amini-Harandi, Alireza
    Fakhar, Majid
    Hajisharifi, Hamid Reza
    Hussain, Nawab
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [33] BEST PROXIMITY POINTS AND FIXED POINT RESULTS FOR CERTAIN MAPS IN BANACH SPACES
    Gabeleh, Moosa
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2015, 36 (08) : 1013 - 1028
  • [34] Generalized Cyclic p-Contractions and p-Contraction Pairs Some Properties of Asymptotic Regularity Best Proximity Points, Fixed Points
    De la Sen, Manuel
    Ibeas, Asier
    SYMMETRY-BASEL, 2022, 14 (11):
  • [35] BEST PROXIMITY POINTS OF SET-VALUED GENERALIZED CONTRACTIONS
    Sultana, A. S. R. I. F. A.
    FIXED POINT THEORY, 2023, 24 (01): : 383 - 392
  • [36] A Discussion on the Coincidence Quasi-Best Proximity Points
    Fouladi, Farhad
    Abkar, Ali
    Karapinar, Erdal
    FILOMAT, 2021, 35 (06) : 2107 - 2119
  • [37] Common fixed points and best proximity points of two cyclic self-mappings
    De la Sen, M.
    Agarwal, R. P.
    FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [38] On Fixed and Best Proximity Points of Cyclic C-contractions in Probabilistic Complete Metric and Banach Spaces
    De la Sen, M.
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2017, 40 (03) : 1321 - 1340
  • [39] Cyclic Fisher (Ψ, R)-quasi-contractions in metric spaces equipped with a semi-partial order relation
    Safari-Hafshejani, A.
    Gabeleh, M.
    Rakocevic, V.
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2024, 73 (04) : 1395 - 1411
  • [40] Multidimensional fixed points for generalized ψ-quasi-contractions in quasi-metric-like spaces
    Li Zhu
    Chuan-Xi Zhu
    Chun-Fang Chen
    Željko Stojanović
    Journal of Inequalities and Applications, 2014
12345