Existence of Best Proximity Points in Regular Cone Metric Spaces

被引:0
|
作者
Kumar, L. [1 ]
Som, T. [1 ]
机构
[1] Banaras Hindu Univ, Indian Inst Technol, Dept Math Sci, Varanasi 221005, Uttar Pradesh, India
来源
AZERBAIJAN JOURNAL OF MATHEMATICS | 2015年 / 5卷 / 01期
关键词
Cone L-function; Cyclic contraction map; Lower bound; Regular cone metric 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 paper we have established some conditions which guarantee the existence of the distance between two subsets of a regular cone metric space. Under these conditions we have given a main result which guarantee the existence of best proximity points for cyclic contraction mappings in regular cone metric space, which extends the earlier result of Haghi et al(2011).
引用
收藏
页码:44 / 53
页数:10
相关论文
共 50 条
  • [1] EXISTENCE AND CONVERGENCE RESULTS FOR BEST PROXIMITY POINTS IN CONE METRIC SPACES
    Lee, Byung-Soo
    NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2014, 4 (02): : 133 - 140
  • [2] Best proximity results in regular cone metric spaces
    Haghi R.H.
    Rakoc̆ević V.
    Rezapour S.
    Shahzad N.
    Rendiconti del Circolo Matematico di Palermo, 2011, 60 (3) : 323 - 327
  • [3] DISCUSSION ON THE EXISTENCE OF BEST PROXIMITY POINTS IN METRIC SPACES
    Hong, Shihuang
    Zhou, Jie
    Chen, Ji
    Hou, Haiyang
    Wang, Li
    FIXED POINT THEORY, 2020, 21 (01): : 191 - 210
  • [4] Completeness of metric spaces and existence of best proximity points
    Khan, Arshad Ali
    Ali, Basit
    Nazir, Talat
    de la Sen, Manuel
    AIMS MATHEMATICS, 2022, 7 (05): : 7318 - 7336
  • [5] Existence and uniqueness of best proximity points in geodesic metric spaces
    Fernandez-Leon, Aurora
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (04) : 915 - 921
  • [6] The existence of best proximity points in metric spaces with the property UC
    Suzuki, Tomonari
    Kikkawa, Misako
    Vetro, Calogero
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) : 2918 - 2926
  • [7] NOTE ON THE EXISTENCE OF BEST PROXIMITY POINTS IN PARTIALLY ORDERED METRIC SPACES
    Liu, Huahua
    Hong, Shihuang
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2018, 19 (08) : 1331 - 1353
  • [8] The existence of best proximity points for cyclic quasi-φ-contractions in metric spaces
    Safari-Hafshejani, Akram
    FILOMAT, 2024, 38 (05) : 1751 - 1761
  • [9] On Best Proximity Points in Metric and Banach Spaces
    Espinola, Rafa
    Fernandez-Leon, Aurora
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2011, 63 (03): : 533 - 550
  • [10] BEST PROXIMITY POINT OF ZAMFIRESCU CONTRACTIONS OF PEROV TYPE ON REGULAR CONE METRIC SPACES
    Abbas, Mujahid
    Rakocevic, Vladimir
    Hussain, Azhar
    FIXED POINT THEORY, 2020, 21 (01): : 3 - 17