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
来源：
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2014年 / 5卷 / 01期
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] Nonlinear conditions for the existence of best proximity points
    Du, Wei-Shih
    Lakzian, Hossein
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [32] Nonlinear conditions for the existence of best proximity points
    Wei-Shih Du
    Hossein Lakzian
    Journal of Inequalities and Applications, 2012
  • [33] On the existence of best proximity points for generalized contractions
    Sultana, Asrifa
    Vetrivel, V.
    APPLIED GENERAL TOPOLOGY, 2014, 15 (01): : 55 - 63
  • [34] BEST PROXIMITY POINT THEOREMS FOR CYCLIC θ-φ-CONTRACTION ON METRIC SPACES
    Rossafi, Mohamed
    Kari, Abdelkarim
    Lee, Jung Rye
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2022, 29 (04): : 335 - 352
  • [35] Graphical Cyclic K-Quasi-Contractive Mappings and the Existence of their Best Proximity Points
    Fallahi, Kamal
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2024, 21 (01): : 291 - 305
  • [36] Best Proximity Point Theorems for Cyclic Wardowski Type Contraction
    Dey, Lakshmi Kanta
    Mondal, Saranan
    THAI JOURNAL OF MATHEMATICS, 2020, 18 (04): : 1857 - 1864
  • [37] Best Proximity Points for K-Proximal Contraction
    Sharma, Ajay
    Thakur, Balwant Singh
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2014, 6 (01): : 82 - 88
  • [38] Best Proximity Points for Cyclic Mappings in Ordered Metric Spaces
    Abkar, A.
    Gabeleh, M.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2011, 150 (01) : 188 - 193
  • [39] On the Best Proximity Points for p-Cyclic Summing Contractions
    Hristov, Miroslav
    Ilchev, Atanas
    Zlatanov, Boyan
    MATHEMATICS, 2020, 8 (07)
  • [40] A new type of R-contraction and its best proximity points
    Aslantas, Mustafa
    Sahin, Hakan
    Altun, Ishak
    Saadoon, Taif Hameed Saadoon
    AIMS MATHEMATICS, 2024, 9 (04): : 9692 - 9704
12345