Fixed point theorems for set valued mappings in partially ordered G-metric space

被引：1
|
作者：
Kumar, Amit [1 ]
机构：
[1] Natl Inst Technol, Dept Math, Hamirpur 177005, Himachal Prades, India
来源：
TBILISI MATHEMATICAL JOURNAL | 2014年 / 7卷 / 01期
关键词：
Fixed point; partially ordered set; G-metric space; set valued mappings;
D O I：
10.2478/tmj-2014-0005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The notion of (X, <=) partially ordered set is well known and its study for fixed points is well entrenched in the literature. In this manuscript, we obtain sufficient conditions for the existence of common fixed point for two set valued mappings satisfying an implicit relation in complete G-metric space on partially ordered set X.
引用
下载
收藏
页码：45 / 54
页数：10
相关论文
共 50 条
  • [1] 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
  • [2] Coupled fixed point theorems for generalized contractive mappings in partially ordered G-metric spaces
    Rabian Wangkeeree
    Thanatporn Bantaojai
    Fixed Point Theory and Applications, 2012
  • [3] Coupled fixed point theorems for generalized contractive mappings in partially ordered G-metric spaces
    Wangkeeree, Rabian
    Bantaojai, Thanatporn
    FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [4] TRIPLED FIXED POINT THEOREMS FOR GENERALIZED CONTRACTIVE MAPPINGS IN PARTIALLY ORDERED G-METRIC SPACES
    Nantadilok, Jamnian
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (01) : 151 - 166
  • [5] 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
  • [6] Coupled fixed point theorems on partially ordered G-metric spaces
    Erdal Karapınar
    Poom Kumam
    Inci M Erhan
    Fixed Point Theory and Applications, 2012
  • [7] On coupled fixed point theorems on partially ordered G-metric spaces
    Erdal Karapınar
    Billûr Kaymakçalan
    Kenan Taş
    Journal of Inequalities and Applications, 2012
  • [8] Coupled fixed point theorems on partially ordered G-metric spaces
    Karapinar, Erdal
    Kumam, Poom
    Erhan, Inci M.
    FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [9] Coupled fixed point theorems in partially ordered G-metric spaces
    Nguyen Van Luong
    Nguyen Xuan Thuan
    MATHEMATICAL AND COMPUTER MODELLING, 2012, 55 (3-4) : 1601 - 1609
  • [10] On coupled fixed point theorems on partially ordered G-metric spaces
    Karapinar, Erdal
    Kaymakcalan, Billur
    Tas, Kenan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
12345