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
  • [41] Common Best Proximity Points and Completeness of F-Metric Spaces
    Zhou, Mi
    Saleem, Naeem
    Ali, Basit
    Mohsin, Misha
    de Hierro, Antonio Francisco Roldan Lopez
    MATHEMATICS, 2023, 11 (02)
  • [42] BEST PROXIMITY POINTS IN NON-ARCHIMEDEAN FUZZY METRIC SPACES
    Murthy, Penumarthy Parvateesam
    Kenvat, Rashmi
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2015, 30 (04): : 479 - 488
  • [43] Best proximity points of discontinuous operator in partially ordered metric spaces
    Choudhury, B. S.
    Jleli, M.
    Maity, P.
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (01): : 308 - 315
  • [44] THE EXISTENCE OF BEST PROXIMITY POINTS FOR GENERALIZED CYCLIC QUASI-CONTRACTIONS IN METRIC SPACES WITH THE UC AND ULTRAMETRIC PROPERTIES
    Safari-Hafshejani, Akram
    FIXED POINT THEORY, 2022, 23 (02): : 507 - 518
  • [45] Existence and convergence of best proximity points
    Eldred, A. Anthony
    Veeramani, P.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 323 (02) : 1001 - 1006
  • [46] Best proximity points for multiplicative proximal contraction mapping on multiplicative metric spaces
    Mongkolkeha, Chirasak
    Sintunavarat, Wutiphol
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (06): : 1134 - 1140
  • [47] BEST PROXIMITY POINTS OF GENERALIZED α-ψ-GERAGHTY PROXIMAL CONTRACTIONS IN GENERALIZED METRIC SPACES
    Amnuaykarn, K.
    Kumam, P.
    Sombut, K.
    Nantadilok, J.
    FIXED POINT THEORY, 2024, 25 (01): : 15 - 30
  • [48] On best proximity points for various α-proximal contractions on metric-like spaces
    Aydi, Hassen
    Felhi, Abdelbasset
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (08): : 5202 - 5218
  • [49] Some Results on Best Proximity Points of Cyclic Contractions in Probabilistic Metric Spaces
    De la Sen, Manuel
    Karapinar, Erdal
    JOURNAL OF FUNCTION SPACES, 2015, 2015
  • [50] BEST PROXIMITY POINTS THEOREM IN b-METRIC SPACES ENDOWED WITH A GRAPH
    Fallahi, Kamal
    Rad, Ghasem Soleimani
    FIXED POINT THEORY, 2020, 21 (02): : 465 - 474
12345