Common fixed point theorems for weakly isotone increasing mappings in ordered partial metric spaces

被引:42
作者
Nashine, Hemant Kumar [1 ]
Kadelburg, Zoran [2 ]
Radenovic, Stojan [3 ]
机构
[1] Disha Inst Management & Technol, Dept Math, Raipur 492101, Chhattisgarh, India
[2] Univ Belgrade, Fac Math, Belgrade 11000, Serbia
[3] Univ Belgrade, Fac Mech Engn, Beograd 11000, Serbia
关键词
Fixed point; Common fixed point; Partial metric space; Weakly increasing mapping; Weakly isotone increasing mappings; Partially ordered set; GENERALIZED CONTRACTIONS; SETS;
D O I
10.1016/j.mcm.2011.12.019
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Common fixed point theorems for T - weakly isotone increasing mappings satisfying a generalized contractive type condition under a continuous function phi : [0, +infinity) -> [0,+infinity) with phi(t) < t for each t > 0 and phi(0) = 0 in complete ordered partial metric spaces are proved. To illustrate our results and to distinguish them from the existing ones, we equip the paper with examples. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2355 / 2365
页数:11
相关论文
共 27 条
  • [1] Generalized contractions in partially ordered metric spaces
    Agarwal, Ravi P.
    El-Gebeily, M. A.
    O'Regan, Donal
    [J]. APPLICABLE ANALYSIS, 2008, 87 (01) : 109 - 116
  • [2] Generalized contractions on partial metric spaces (vol 157, pg 2778, 2010)
    Altun, I.
    Sadarangani, K.
    [J]. TOPOLOGY AND ITS APPLICATIONS, 2011, 158 (13) : 1738 - 1740
  • [3] Altun I., 2008, J. Adv. Math. Stud., V1, P1
  • [4] Fixed Point Theorems for Monotone Mappings on Partial Metric Spaces
    Altun, Ishak
    Erduran, Ali
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2011,
  • [5] Generalized contractions on partial metric spaces
    Altun, Ishak
    Sola, Ferhan
    Simsek, Hakan
    [J]. TOPOLOGY AND ITS APPLICATIONS, 2010, 157 (18) : 2778 - 2785
  • [6] Fixed point and common fixed point theorems on ordered cone metric spaces
    Altun, Ishak
    Damjanovic, Bosko
    Djoric, Dragan
    [J]. APPLIED MATHEMATICS LETTERS, 2010, 23 (03) : 310 - 316
  • [7] Aydi H., 2011, J NONLINEAR IN PRESS
  • [8] Monotone Generalized Nonlinear Contractions in Partially Ordered Metric Spaces
    Ciric, Ljubomir
    Cakic, Nenad
    Rajovic, Miloje
    Ume, Jeong Sheok
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2008, 2008 (1)
  • [9] PCF extended with real numbers
    Escardo, MH
    [J]. THEORETICAL COMPUTER SCIENCE, 1996, 162 (01) : 79 - 115
  • [10] Fixed point theorems for weakly contractive mappings in partially ordered sets
    Harjani, J.
    Sadarangani, K.
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) : 3403 - 3410