On the modular G-metric spaces and fixed point theorems

被引:15
作者
Azadifar, Bahareh [1 ]
Maramaei, Mahnaz [1 ]
Sadeghi, Ghadir [1 ]
机构
[1] Hakim Sabzevari Univ, Dept Math & Comp Sci, Sabzevar, Iran
来源
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2013年 / 6卷 / 04期
关键词
modular G-metric space; fixed point; contractive mapping;
D O I
10.22436/jnsa.006.04.07
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce the notion of modular G-metric spaces and obtain some fixed point theorems of contractive mappings defined on modular G-metric spaces.(C)2013 All rights reserved.
引用
收藏
页码:293 / 304
页数:12
相关论文
共 13 条
  • [1] [Anonymous], LECT NOTES MATH
  • [2] Modular metric spaces, I: Basic concepts
    Chistyakov, Vyacheslav V.
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (01) : 1 - 14
  • [3] Quasi-Contractive Mappings in Modular Metric Spaces
    Cho, Yeol J. E.
    Saadati, Reza
    Sadeghi, Ghadir
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [4] Dhage B.C., 1992, B CALCUTTA MATH, V74503
  • [5] Gahler S., 1966, Math. Nachr., V26, P665
  • [6] Mustafa Z., 2003, P INT C FIX POINT TH, P198
  • [7] MUSTAFA Z., INT J MATH MATH SCI, V2009
  • [8] FIXED POINT RESULTS ON COMPLETE G-METRIC SPACES
    Mustafa, Zead
    Khandagji, Mona
    Shatanawi, Wasfi
    [J]. STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2011, 48 (03) : 304 - 319
  • [9] Some fixed point theorem for mapping on complete G-metric spaces
    Mustafa, Zead
    Obiedat, Hamed
    Awawdeh, Fadi
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2008, 2008 (1)
  • [10] Mustafa Z, 2006, J NONLINEAR CONVEX A, V7, P289