Common Fixed Point Theorems in Fuzzy Metric Spaces under Implicit Relations

被引:0
|
作者
Singh, Deepak [1 ]
Sharma, Mayank [2 ]
Sharma, Ramakant [3 ]
Singh, Naval [4 ]
机构
[1] NITTTR, Dept Math, Bhopal, MP, India
[2] LNCT, Dept Engn Math, Bhopal, India
[3] Bansal Coll Engn, Dept Math, Bhopal, MP, India
[4] Govt Sci & Commerce Coll, Dept Math, Bhopal, MP, India
来源
THAI JOURNAL OF MATHEMATICS | 2018年 / 16卷 / 02期
关键词
weakly A-compatible pair (A; B); sequentially compact; common fixed points;
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 using the concept of a pair (A, B) being weakly Acompatible, we prove a common fixed point theorem for self maps in fuzzy metric spaces which modifies and generalizes some known results. On the other hand a common fixed point theorem for self maps in sequentially compact fuzzy metric spaces is also proved.
引用
收藏
页码:347 / 358
页数:12
相关论文
共 50 条
  • [1] COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES UNDER IMPLICIT RELATIONS
    Rao, K. P. R.
    Babu, G. Ravi
    Fisher, B.
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2008, 37 (02): : 97 - 106
  • [2] SOME FIXED POINT THEOREMS ON FUZZY METRIC SPACES WITH IMPLICIT RELATIONS
    Altun, Ishak
    Turkoglu, Duran
    [J]. COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 23 (01): : 111 - 124
  • [3] COMMON FIXED POINT THEOREMS FOR HYBRID PAIRS OF MAPPINGS USING IMPLICIT RELATIONS IN FUZZY METRIC SPACES
    Bhardwaj, Ved Prakash
    Tiwari, Sourabh
    [J]. FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2022, 37 (05): : 861 - 875
  • [4] Common fixed point theorems under implicit relations on ordered metric spaces and application to integral equations
    Nashine, Hemant Kumar
    [J]. BULLETIN OF MATHEMATICAL SCIENCES, 2013, 3 (02) : 183 - 204
  • [5] A Common Fixed Point Theorems in Fuzzy Metric Spaces
    Jain, Manish
    Kumar, Sanjay
    [J]. THAI JOURNAL OF MATHEMATICS, 2014, 12 (03): : 591 - 600
  • [6] Common fixed point theorems in fuzzy metric spaces
    Sharma, S
    [J]. FUZZY SETS AND SYSTEMS, 2002, 127 (03) : 345 - 352
  • [7] Common fuzzy fixed point theorems in ordered metric spaces
    Ciric, L.
    Abbas, M.
    Damjanovic, B.
    Saadati, R.
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (9-10) : 1737 - 1741
  • [8] Common Coupled Fixed Point Theorems in Fuzzy Metric Spaces
    Rao, K. Pandu Ranga
    Rao, K. Rama Koteswara
    Sedghi, S.
    [J]. GAZI UNIVERSITY JOURNAL OF SCIENCE, 2014, 27 (02): : 739 - 745
  • [9] Common Fixed Point Theorems in Intuitionistic Fuzzy Metric Spaces
    H.M.Abu-Donia
    A.A.Nasef
    [J]. 模糊系统与数学, 2008, (02) : 100 - 106
  • [10] COMMON FIXED POINT THEOREMS IN COMPLETE FUZZY METRIC SPACES
    Sedghi, Shaban
    Shobe, Nabi
    [J]. DEMONSTRATIO MATHEMATICA, 2008, 41 (02) : 433 - 440