EXISTENCE AND CONVERGENCE OF BEST PROXIMITY POINTS FOR SEMI CYCLIC CONTRACTION PAIRS

被引:0
|
作者
Thakur, Balwant Singh [1 ]
Sharma, Ajay [1 ]
机构
[1] Pt Ravishankar Shukla Univ, Sch Studies Math, Raipur 492010, Madhya Pradesh, India
关键词
Best proximity point; fixed point; semicyclic phi-contraction; metric space; Banach space;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, we introduce the notion of a semi cyclic '-contraction pair of mappings, which contains semi cyclic contraction pairs as a subclass. Existence and convergence results of best proximity points for semi cyclic phi- contraction pair of mappings are obtained.
引用
收藏
页码:33 / 44
页数:12
相关论文
共 50 条
  • [31] Existence of Coupled Best Proximity Points of p-Cyclic Contractions
    Hristov, Miroslav
    Ilchev, Atanas
    Nedelcheva, Diana
    Zlatanov, Boyan
    AXIOMS, 2021, 10 (01)
  • [32] Cyclic pairs and common best proximity points in uniformly convex Banach spaces
    Gabeleh, Moosa
    Mary, P. Julia
    Eldred, A. Anthony Eldred
    Otafudu, Olivier Olela
    OPEN MATHEMATICS, 2017, 15 : 711 - 723
  • [33] Existence and convergence theorems for Bregman best proximity points in reflexive Banach spaces
    Naraghirad, Eskandar
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (01)
  • [34] Existence and Convergence Theorems for Global Minimization of Best Proximity Points in Hilbert Spaces
    Raweerote Suparatulatorn
    Watcharaporn Cholamjiak
    Suthep Suantai
    Acta Applicandae Mathematicae, 2020, 165 : 81 - 90
  • [35] Existence and Convergence Theorems for Global Minimization of Best Proximity Points in Hilbert Spaces
    Suparatulatorn, Raweerote
    Cholamjiak, Watcharaporn
    Suantai, Suthep
    ACTA APPLICANDAE MATHEMATICAE, 2020, 165 (01) : 81 - 90
  • [36] Existence and convergence theorems for Bregman best proximity points in reflexive Banach spaces
    Eskandar Naraghirad
    Journal of Fixed Point Theory and Applications, 2018, 20
  • [37] 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):
  • [38] BEST PROXIMITY POINTS THEOREMS FOR GENERALIZED MIZOGUCHI-TAKAHASHI'S CONTRACTION PAIRS
    Sintunavarat, Wutiphol
    Kumam, Poom
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2016, 17 (07) : 1345 - 1361
  • [39] Coincidence-Best Proximity Points of Contraction Pairs in Uniformly Convex Metric Spaces
    Abkar, A.
    Norouzian, M.
    JOURNAL OF MATHEMATICAL EXTENSION, 2020, 14 (01) : 137 - 157
  • [40] The existence of best proximity points for cyclic quasi-φ-contractions in metric spaces
    Safari-Hafshejani, Akram
    FILOMAT, 2024, 38 (05) : 1751 - 1761