Common Fixed Point Theorem for Expansive Mappings in G-Metric Spaces

被引：0
|
作者：
Vats, R. K. [1 ]
Kumar, S. [2 ]
Sihag, V. [1 ]
机构：
[1] Natl Inst Technol, Hamirpur 177005, HP, India
[2] DCR Univ Sci & Techonol Murthal, Sonepat, Haryana, India
来源：
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2013年 / 6卷 / 01期
关键词：
G-metric space; fixed point; compatible mapping of type (A) and phi function of contractive modulus;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the concept of compatible and compatible mapping of type (A) in G-metric space akin to compatible and its type (A) in metric space introduced by Jungck [7] and Jungck et. al [8] and then establishes an example to show their independency. Further, we prove a common fixed point theorem for two pair of expansive mappings which generalize and unify the results of Wang et. al. [19] and Daffer et. al. [17]. Examples are given to support the generality of our result. Finally, we elaborate our theorem as an application in product space.
引用
收藏
页码：60 / 71
页数：12
相关论文
共 50 条
  • [1] A Common Tripled Fixed Point Theorem For Jungck Type Mappings In G-Metric Spaces
    Rao, K. Pandu Ranga
    Rao, K. Rama Koteswara
    [J]. GAZI UNIVERSITY JOURNAL OF SCIENCE, 2013, 26 (03): : 363 - 368
  • [2] Common fixed point theorems for fuzzy mappings in G-metric spaces
    Zhu, Li
    Zhu, Chuan-Xi
    Chen, Chun-Fang
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [3] Common fixed point theorems for fuzzy mappings in G-metric spaces
    Li Zhu
    Chuan-Xi Zhu
    Chun-Fang Chen
    [J]. Fixed Point Theory and Applications, 2012
  • [4] A fixed point theorem on soft G-metric spaces
    Guler, Aysegul Caksu
    Yildirim, Esra Dalan
    Ozbakir, Oya Bedre
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (03): : 885 - 894
  • [5] A Unique Common Fixed Point Theorem for Six Maps in G-metric Spaces
    Rao, K. P. R.
    Lakshmi, K. B.
    Mustafa, Z.
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2012, 3 (01): : 17 - 23
  • [6] A Unique Coupled Common Fixed Point Theorem for Symmetric (φ, ψ)-Contractive Mappings in Ordered G-Metric Spaces with Applications
    Jain, Manish
    Tas, Kenan
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [7] A general fixed point theorem for pairs of weakly compatible mappings in G-metric spaces
    Popa, Valeriu
    Patriciu, Alina-Mihaela
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2012, 5 (02): : 151 - 160
  • [8] SOME FIXED POINT RESULTS FOR MAPPINGS IN G-METRIC SPACES
    Mohanta, S. K.
    Mohanta, Srikanta
    [J]. DEMONSTRATIO MATHEMATICA, 2014, 47 (01) : 179 - 191
  • [9] Common Fixed Point Theorems of Altman Integral Type Mappings in G-Metric Spaces
    Gu, Feng
    Ye, Hongqing
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [10] COMMON FIXED POINT OF GENERALIZED CONTRACTION TYPE MAPPINGS IN ORDERED G-METRIC SPACES
    Latif, Abdul
    Nazir, Talat
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2018, 19 (07) : 1275 - 1285
12345