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
  • [31] Best Proximity Points for Cyclic Mappings in Ordered Metric Spaces
    A. Abkar
    M. Gabeleh
    Journal of Optimization Theory and Applications, 2011, 150 : 188 - 193
  • [32] Best Proximity Points for Cyclic Mappings in Ordered Metric Spaces
    A. Abkar
    M. Gabeleh
    Journal of Optimization Theory and Applications, 2011, 151 : 418 - 424
  • [33] Existence and convergence of best proximity points in CATp(0) spaces
    Shukri, S.
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2020, 22 (02)
  • [34] Best proximity points: approximation and optimization in partially ordered metric spaces
    Pragadeeswarar, V.
    Marudai, M.
    OPTIMIZATION LETTERS, 2013, 7 (08) : 1883 - 1892
  • [35] On semi best proximity points for multivalued mappings in quasi metric spaces
    Khan, Arshad Ali
    Ali, Basit
    George, Reny
    AIMS MATHEMATICS, 2023, 8 (10): : 23835 - 23849
  • [36] BEST PROXIMITY POINTS FOR CONTRACTIVE MAPPINGS IN GENERALIZED MODULAR METRIC SPACES
    Anbukkarasi, V.
    Marudai, M.
    Theivaraman, R.
    KOREAN JOURNAL OF MATHEMATICS, 2023, 31 (02): : 123 - 131
  • [37] Best proximity points, cyclic Kannan maps and geodesic metric spaces
    Moosa Gabeleh
    Naseer Shahzad
    Journal of Fixed Point Theory and Applications, 2016, 18 : 167 - 188
  • [38] Best proximity points: approximation and optimization in partially ordered metric spaces
    V. Pragadeeswarar
    M. Marudai
    Optimization Letters, 2013, 7 : 1883 - 1892
  • [39] Best proximity points, cyclic Kannan maps and geodesic metric spaces
    Gabeleh, Moosa
    Shahzad, Naseer
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2016, 18 (01) : 167 - 188
  • [40] NEW BEST PROXIMITY COINCIDENCE POINTS OF CERTAIN CONTRACTIONS IN METRIC SPACES
    Komal, Somayya
    Kumam, Poom
    Dechboon, Premyuda
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2019, 20 (10) : 2109 - 2118