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
  • [41] EXISTENCE OF BEST PROXIMITY POINTS OF P-CYCLIC CONTRACTIONS
    Karpagam, S.
    Agrawal, Sushama
    FIXED POINT THEORY, 2012, 13 (01): : 99 - 105
  • [42] On best proximity points of cyclic contractions via implicit relations
    Pratikshan Mondal
    Hiranmoy Garai
    Adrian Petruşel
    Lakshmi Kanta Dey
    The Journal of Analysis, 2023, 31 : 1771 - 1782
  • [43] Best Proximity Points of Cyclic φ-Contractions on Reflexive Banach Spaces
    Rezapour, Sh.
    Derafshpour, M.
    Shahzad, N.
    FIXED POINT THEORY AND APPLICATIONS, 2010,
  • [44] Best proximity points for cyclic Meir-Keeler contractions
    Di Bari, Cristina
    Suzuki, Tomonari
    Vetro, Calogero
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (11) : 3790 - 3794
  • [45] BEST PROXIMITY POINTS OF CYCLIC φ-CONTRACTIONS IN ORDERED METRIC SPACES
    Derafshpour, Majid
    Rezapour, Shahram
    Shahzad, Naseer
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2011, 37 (01) : 193 - 202
  • [46] Global Minimization of Common Best Proximity Points for Generalized Cyclic φ-Contractions in Metric Spaces
    Dangskul, Supreedee
    Suparatulatorn, Raweerote
    THAI JOURNAL OF MATHEMATICS, 2020, 18 (03): : 1173 - 1183
  • [47] Best proximity points and fixed points for p-summing maps
    Petric, Mihaela Ancuta
    Zlatanov, Boyan
    FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [48] BEST PROXIMITY POINTS OF MULTIVALUED GERAGHTY CONTRACTIONS
    Debnath, Pradip
    MISKOLC MATHEMATICAL NOTES, 2023, 24 (01) : 119 - 127
  • [49] Global Minimization of best proximity points for semi-cyclic Berinde contractions
    Sarnmeta, Panitarn
    Suantai, Suthep
    CARPATHIAN JOURNAL OF MATHEMATICS, 2018, 34 (03) : 411 - 416
  • [50] Some remarks on convergence of best proximity points and Semi-cyclic contractions
    M. Gabeleh
    G. Sankara Raju Kosuru
    Rendiconti del Circolo Matematico di Palermo Series 2, 2023, 72 : 2429 - 2442
12345