Common fixed point theorems in probabilistic metric spaces

被引:7
|
作者
Kohli, J. K. [1 ]
Vashistha, S.
机构
[1] Univ Delhi, Hindu Coll, Dept Math, Delhi 110007, India
[2] Univ Delhi, Dept Math, Delhi 110007, India
关键词
fixed point; Menger space; probabilistic metric space; R-weakly commuting mappings; R-weakly commuting mappings of types (i); (ii); and; (iii);
D O I
10.1007/s10474-006-0533-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We extend the notion of R-weak commutativity and its variants to probabilistic metric spaces and prove common fixed point theorems concerning them. Examples are included to reflect upon the distinctiveness of the types of mappings defined in the paper.
引用
收藏
页码:37 / 47
页数:11
相关论文
共 50 条
  • [21] SOME FIXED AND COMMON FIXED-POINT THEOREMS IN METRIC SPACES
    SEHGAL, VM
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1974, 17 (02): : 257 - 259
  • [22] Menger-Hausdorff metric and common fixed point theorems in Menger probabilistic G-metric spaces
    Tu, Qiang
    Zhu, Chuanxi
    Wu, Zhaoqi
    FIXED POINT THEORY AND APPLICATIONS, 2015, : 1 - 18
  • [23] Fixed degree and fixed point theorems for fuzzy mappings in probabilistic metric spaces
    Chang, SS
    Cho, YJ
    Lee, BS
    Lee, GM
    FUZZY SETS AND SYSTEMS, 1997, 87 (03) : 325 - 334
  • [24] Menger-Hausdorff metric and common fixed point theorems in Menger probabilistic G-metric spaces
    Qiang Tu
    Chuanxi Zhu
    Zhaoqi Wu
    Fixed Point Theory and Applications, 2015
  • [25] Common Fixed Point Theorems in Intuitionistic Fuzzy Metric Spaces
    HMAbuDonia
    AANasef
    模糊系统与数学, 2008, (02) : 100 - 106
  • [26] Common Coupled Fixed Point Theorems in Fuzzy Metric Spaces
    Rao, K. Pandu Ranga
    Rao, K. Rama Koteswara
    Sedghi, S.
    GAZI UNIVERSITY JOURNAL OF SCIENCE, 2014, 27 (02): : 739 - 745
  • [27] Common fuzzy fixed point theorems in ordered metric spaces
    Ciric, L.
    Abbas, M.
    Damjanovic, B.
    Saadati, R.
    MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (9-10) : 1737 - 1741
  • [28] Some Common Fixed Point Theorems in Partial Metric Spaces
    Karapinar, Erdal
    Yuksel, Ugur
    JOURNAL OF APPLIED MATHEMATICS, 2011,
  • [29] COMMON FIXED POINT THEOREMS IN COMPLETE FUZZY METRIC SPACES
    Sedghi, Shaban
    Shobe, Nabi
    DEMONSTRATIO MATHEMATICA, 2008, 41 (02) : 433 - 440
  • [30] A NOTE ON COMMON FIXED POINT THEOREMS IN PARTIAL METRIC SPACES
    Karapinar, Erdal
    MISKOLC MATHEMATICAL NOTES, 2011, 12 (02) : 185 - 191