On coupled coincidence point theorems on partially ordered G-metric spaces without mixed g-monotone

被引：4
|
作者：
Charoensawan, Phakdi [1 ]
Thangthong, Chaiporn [1 ]
机构：
[1] Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年
关键词：
coupled fixed point; coupled coincidence point; invariant set; mixed g-monotone; partially ordered set; G-metric; CONTRACTIVE-TYPE MAPPINGS; COMMON FIXED-POINTS; KEELER TYPE CONTRACTIONS; NONLINEAR CONTRACTIONS; SETS;
D O I：
10.1186/1029-242X-2014-150
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we prove the existence of a coupled coincidence point theorem of nonlinear contraction mappings in G-metric spaces without the mixed g-monotone property and give some examples of a nonlinear contraction mapping, which is not applied to the existence of coupled coincidence point by using the mixed monotone property. We also show the uniqueness of a coupled coincidence point of the given mapping. Further, we apply our results to the existence and uniqueness of a coupled coincidence point of the given mapping in partially ordered G-metric spaces.
引用
下载
收藏
页数：17
相关论文
共 50 条
  • [31] Coupled fixed point theorems for compatible mappings in partially ordered G-metric spaces
    Chen, Jianhua
    Huang, Xianjiu
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (02): : 130 - 141
  • [32] On Coupled Fixed Point Theorems for Nonlinear Contractions in Partially Ordered G-Metric Spaces
    Mohiuddine, S. A.
    Alotaibi, Abdullah
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [33] Fixed point theorems in generalized partially ordered G-metric spaces
    Saadati, R.
    Vaezpour, S. M.
    Vetro, P.
    Rhoades, B. E.
    MATHEMATICAL AND COMPUTER MODELLING, 2010, 52 (5-6) : 797 - 801
  • [34] Coupled fixed point theorems for generalized contractive mappings in partially ordered G-metric spaces
    Rabian Wangkeeree
    Thanatporn Bantaojai
    Fixed Point Theory and Applications, 2012
  • [35] Coupled fixed point theorems for generalized (ψ, φ) weak contraction in partially ordered G-metric spaces
    Popovic, Branislav
    Shoaib, Muhammad
    Sarwar, Muhammad
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 23 (05) : 897 - 909
  • [36] Coupled fixed point theorems for generalized contractive mappings in partially ordered G-metric spaces
    Wangkeeree, Rabian
    Bantaojai, Thanatporn
    FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [37] Coupled fixed point theorems for (α, φ)g-contractive type mappings in partially ordered G-metric spaces
    Chen, Jianhua
    Huang, Xianjiu
    OPEN MATHEMATICS, 2015, 13 : 877 - 888
  • [38] A Coupled Fixed Point Theorem for Mixed Monotone Mappings on Partial Ordered G-Metric Spaces
    Lee, Hosoo
    KYUNGPOOK MATHEMATICAL JOURNAL, 2014, 54 (03): : 485 - 500
  • [39] Discussion of coupled and tripled coincidence point theorems for φ-contractive mappings without the mixed g-monotone property
    Karapinar, Erdal
    Roldan, Antonio
    Shahzad, Naseer
    Sintunavarat, Wutiphol
    FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [40] Discussion of coupled and tripled coincidence point theorems for φ-contractive mappings without the mixed g-monotone property
    Erdal Karapınar
    Antonio Roldán
    Naseer Shahzad
    Wutiphol Sintunavarat
    Fixed Point Theory and Applications, 2014
12345