Coupled coincidence point theorems for α-Ψ-contractive type mappings in partially ordered metric spaces

被引：8
作者：
Kaushik, Preeti [1 ]
Kumar, Sanjay [1 ]
Kumam, Poom [2 ]
机构：
[1] DCRUST, Dept Math, Murthal 131039, Sonepat, India
[2] King Mongkuts Univ Technol, Thonburi KMUTT, Dept Math, Fac Sci, Bangkok 10140, Thailand
来源：
FIXED POINT THEORY AND APPLICATIONS | 2013年
关键词：
coupled coincidence point; alpha-Psi-contractive mapping; partially ordered metric space; FIXED-POINT; COMPATIBLE MAPPINGS; SETS;
D O I：
10.1186/1687-1812-2013-325
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the notion of alpha-Psi-contractions and (a)-admissibility for a pair of mappings. In fact, our theorem is a generalization of the result of Mursaleen et al. (Fixed Point Theory Appl. 2012, doi: 10.1186/1687-1812-2012-228). At the end, we shall provide an example in support of our main result.
引用
收藏
页数：10
相关论文
共 19 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] Coupled fixed point results in cone metric spaces for (w)over-tilde-compatible mappings
    Aydi, Hassen
    Samet, Bessem
    Vetro, Calogero
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2011,
  • [3] Fixed point theorems in partially ordered metric spaces and applications
    Bhaskar, T. Gnana
    Lakshmikantham, V.
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 65 (07) : 1379 - 1393
  • [4] A coupled coincidence point result in partially ordered metric spaces for compatible mappings
    Choudhury, Binayak S.
    Kundu, Amaresh
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (08) : 2524 - 2531
  • [5] 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)
  • [6] Fixed point theorems on ordered metric spaces and applications to nonlinear elastic beam equations
    Jleli, Mohamed
    Rajic, Vesna Cojbasic
    Samet, Bessem
    Vetro, Calogero
    [J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2012, 12 (1-2) : 175 - 192
  • [7] Karapmar E., 2012, ABSTR APPL ANAL, V2012, DOI DOI 10.1155/2012/793486
  • [8] Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
    Lakshmikantham, V.
    Ciric, Ljubomir
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (12) : 4341 - 4349
  • [9] Coupled fixed point theorems for α-ψ-contractive type mappings in partially ordered metric spaces
    Mursaleen, Mohammad
    Mohiuddine, Syed Abdul
    Agarwal, Ravi P
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [10] Coupled coincidence points for compatible mappings satisfying mixed monotone property
    Nashine, Hemant Kumar
    Samet, Bessem
    Vetro, Calogero
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2012, 5 (02): : 104 - 114
12