Common fixed points theorems for fuzzy mappings

被引:25
|
作者
Kamran, Tayyab [1 ]
机构
[1] Natl Univ Sci & Technol, Ctr Adv Math & Phys, Rawalpindi, Pakistan
关键词
D O I
10.1016/j.chaos.2008.04.031
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Recently, Abu-Donia [Abu-Donia HM. Common fixed points theorems for fuzzy mappings in metric space under phi contraction condition. Chaos, Solitons & Fractals 2007;34:538431 studied the Hausdorff metric between fuzzy subsets via its correspondence between the two classical sets and established two common fixed point theorems for two fuzzy mappings which are useful in geometric problems arising in high energy physics. However, the proofs of Abu-Donia's main results are incorrect. The purpose of this paper is to present correct proofs of these results. (c) 2008 Elsevier Ltd. All rights reserved.
引用
下载
收藏
页码:1378 / 1382
页数:5
相关论文
共 50 条
  • [1] Common fuzzy fixed points of α-fuzzy mappings
    Al-Mazrooei, Abdullah Eqal
    Sayed, Abdelhamied Farrag
    Ahmad, Jamshaid
    Italian Journal of Pure and Applied Mathematics, 2020, 43 : 627 - 641
  • [2] Common fuzzy fixed points of α-fuzzy mappings
    Al-Mazrooei, Abdullah Eqal
    Sayed, Abdelhamied Farrag
    Ahmad, Jamshaid
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, (43): : 627 - 641
  • [3] Common fuzzy fixed points for fuzzy mappings
    Akbar Azam
    Ismat Beg
    Fixed Point Theory and Applications, 2013
  • [4] Common fuzzy fixed points for fuzzy mappings
    Azam, Akbar
    Beg, Ismat
    FIXED POINT THEORY AND APPLICATIONS, 2013, : 8 - 18
  • [5] Convergence Theorems of Common Fixed Points for Pseudocontractive Mappings
    Hao, Yan
    FIXED POINT THEORY AND APPLICATIONS, 2008, 2008 (1)
  • [6] Convergence Theorems of Common Fixed Points for Pseudocontractive Mappings
    Yan Hao
    Fixed Point Theory and Applications, 2008
  • [7] COMMON FIXED-POINTS OF FUZZY MAPPINGS
    PARK, JY
    JEONG, JU
    FUZZY SETS AND SYSTEMS, 1993, 59 (02) : 231 - 235
  • [8] Common Fixed Point Theorems for Four Fuzzy Mappings
    Gupta, Animesh
    Pandey, Neelesh
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2014, 6 (01): : 97 - 112
  • [9] COMMON FIXED POINT THEOREMS FOR L-FUZZY MAPPINGS
    Al-Mazrooei, Abdullah Eqal
    Ahmad, Jamshaid
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2019, 10 (01): : 143 - 150
  • [10] Fuzzy common fixed point theorems for generalized contractive mappings
    Abbas, M.
    Damjanovic, Bosko
    Lazovic, Rade
    APPLIED MATHEMATICS LETTERS, 2010, 23 (11) : 1326 - 1330