Best proximity points for generalized proximal weak contractions in partially ordered metric spaces

被引：0
|
作者：
V. Pragadeeswarar
M. Marudai
机构：
[1] Bharathidasan University,Department of Mathematics
来源：
Optimization Letters | 2015年 / 9卷
关键词：
Partially ordered set; Optimal approximate solution ; Proximally increasing mapping; Fixed point; Best proximity point;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we prove the existence and uniqueness of best proximity point for mappings satisfying generalized proximal weak contraction in a complete ordered metric spaces. Further, our result provides an extension of a result due to Stojan Radenović and Zoran Kadelburg to the case of non-self-mappings.
引用
收藏
页码：105 / 118
页数：13
相关论文
共 50 条
  • [1] Best proximity points for generalized proximal weak contractions in partially ordered metric spaces
    Pragadeeswarar, V.
    Marudai, M.
    OPTIMIZATION LETTERS, 2015, 9 (01) : 105 - 118
  • [2] Best proximity points for proximal generalized contractions in metric spaces
    Amini-Harandi, A.
    OPTIMIZATION LETTERS, 2013, 7 (05) : 913 - 921
  • [3] Best proximity points for proximal generalized contractions in metric spaces
    A. Amini-Harandi
    Optimization Letters, 2013, 7 : 913 - 921
  • [4] 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
  • [5] Best proximity point theorems for generalized contractions in partially ordered metric spaces
    Zhang, Jingling
    Su, Yongfu
    Cheng, Qingqing
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [6] Best proximity point theorems for generalized contractions in partially ordered metric spaces
    Jingling Zhang
    Yongfu Su
    Qingqing Cheng
    Fixed Point Theory and Applications, 2013
  • [7] Generalized weak contractions in partially ordered metric spaces
    Radenovic, Stojan
    Kadelburg, Zoran
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (06) : 1776 - 1783
  • [8] Best proximity points of Kannan type cyclic weak φ-contractions in ordered metric spaces
    Karapinar, Erdal
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2012, 20 (03): : 51 - 63
  • [9] BEST PROXIMITY POINTS OF CYCLIC φ-CONTRACTIONS IN ORDERED METRIC SPACES
    Derafshpour, Majid
    Rezapour, Shahram
    Shahzad, Naseer
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2011, 37 (01) : 193 - 202
  • [10] Coupled Best Proximity Point Theorem for Generalized Contractions in Partially Ordered Metric Spaces
    Dewangan, Vinita
    Banerjee, Amitabh
    Koushik, Pushpa
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2018, 9 (02): : 147 - 158
12345