A common fixed point theorem for compatible quasi contractive self mappings in metric spaces

被引:34
|
作者
Berinde, Vasile [1 ]
机构
[1] N Univ Baia Mare, Dept Math & Comp Sci, Baia Mare 430072, Romania
关键词
Metric space; Generalized quasi contractions; Common fixed point; Compatible mappings; Sequentially commutative mappings;
D O I
10.1016/j.amc.2009.03.027
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A common fixed point theorem for weakly commuting quasi contractive self mappings with contracting orbital diameters in metric spaces [V. Berinde, A common fixed point theorem for quasi contractive type mappings, Ann. Univ. Sci. Budapest. 46 (2003) 81-90] is extended to the more general class of compatible quasi contractive self mappings. Our result does extend and generalize numerous related results in literature. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码:348 / 354
页数:7
相关论文
共 50 条
  • [1] A common fixed point theorem for compatible mappings in fuzzy metric spaces
    Dosenovic, Tatjana
    2008 6TH INTERNATIONAL SYMPOSIUM ON INTELLIGENT SYSTEMS AND INFORMATICS, 2008, : 350 - 353
  • [2] Fixed point theorems for α-ψ-quasi contractive mappings in metric spaces
    Cho, Seong-Hoon
    Bae, Jong-Sook
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [3] Fixed point theorems for α-ψ-quasi contractive mappings in metric spaces
    Seong-Hoon Cho
    Jong-Sook Bae
    Fixed Point Theory and Applications, 2013
  • [4] A coincident point and common fixed point theorem for weakly compatible mappings in partial metric spaces
    Akram, M.
    Shamaila, W.
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (03): : 184 - 192
  • [5] Common Fixed Point Theorem for Occasionally Weakly Compatible Mappings in Probabilistic Metric Spaces
    Chauhan, Sunny
    Kumam, Poom
    THAI JOURNAL OF MATHEMATICS, 2013, 11 (02): : 285 - 292
  • [6] Common Fixed Point Theorem for Contractive Mappings in Complex Valued b-Metric Spaces
    Analouei Adegani, Ebrahim
    Zireh, Ahmad
    Bidkham, Mahmood
    GAZI UNIVERSITY JOURNAL OF SCIENCE, 2016, 29 (03): : 681 - 693
  • [7] A common fixed point theorem for compatible mappings in fuzzy metric spaces using implicit relation
    T. Žikić-Došenović
    Acta Mathematica Hungarica, 2009, 125 : 357 - 368
  • [8] Common tripled fixed point theorem for W-compatible mappings in fuzzy metric spaces
    Tian, Jing-Feng
    Hu, Xi-Mei
    Zhao, Hong-Shan
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (03): : 806 - 818
  • [9] A COMMON FIXED POINT THEOREM FOR COMPATIBLE MAPPINGS IN FUZZY METRIC SPACES USING IMPLICIT RELATION
    Zikic-Dosenovic, T.
    ACTA MATHEMATICA HUNGARICA, 2009, 125 (04) : 357 - 368
  • [10] Coincidence and common fixed point results for β-quasi contractive mappings on metric spaces endowed with binary relation
    Ayari M.I.
    Berzig M.
    Kédim I.
    Mathematical Sciences, 2016, 10 (3) : 105 - 114