Some new results and generalizations in metric fixed point theory

被引:69
|
作者
Du, Wei-Shih [1 ]
机构
[1] Natl Kaohsiung Normal Univ, Dept Math, Kaohsiung 802, Taiwan
关键词
tau-function; tau(0)-metric; MT-function; Generalized Berinde-Berinde fixed point theorem; Generalized Mizoguchi-Takahashi fixed point theorem; Generalized Kannan fixed point theorem; Generalized Chatterjea fixed point theorem; EKELANDS VARIATIONAL PRINCIPLE; MAPPINGS; SPACES;
D O I
10.1016/j.na.2010.05.007
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The main purpose of this paper is the study of the generalization of some results given in [M. Berinde, V. Berinde, On a general class of multi-valued weakly Picard mappings, J. Math. Anal. Appl. 326 (2007) 772-782] and references there in. Some generalizations of the Mizoguchi-Takahashi fixed point theorem, Kannan's fixed point theorems and Chatterjea's fixed point theorems are established by using our new fixed point theorems. (C)2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1439 / 1446
页数:8
相关论文
共 50 条
  • [1] Some recent results in metric fixed point theory
    Kirk, W. A.
    [J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2007, 2 (02) : 195 - 207
  • [2] Some recent results in metric fixed point theory
    W. A. Kirk
    [J]. Journal of Fixed Point Theory and Applications, 2007, 2 : 195 - 207
  • [3] Some New Aspects of Metric Fixed Point Theory
    Javed, Khalil
    Uddin, Fahim
    Isik, Huseyin
    Al-shami, Tareq M.
    Adeel, Faizan
    Arshad, Muhammad
    [J]. ADVANCES IN MATHEMATICAL PHYSICS, 2021, 2021
  • [4] Some results on existence and approximation in metric fixed point theory
    Kirk, WA
    Saliga, LM
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 113 (1-2) : 141 - 152
  • [5] Some Generalizations of Fixed Point Theorems in Cone Metric Spaces
    Olaleru, J. O.
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2009,
  • [6] Some Generalizations of Fixed Point Theorems in Cone Metric Spaces
    J. O. Olaleru
    [J]. Fixed Point Theory and Applications, 2009
  • [7] Multivalued generalizations of fixed point results in fuzzy metric spaces
    Dosenovic, Tatjana
    Rakic, Dusan
    Caric, Biljana
    Radenovic, Stojan
    [J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2016, 21 (02): : 211 - 222
  • [8] SOME RESULTS IN FIXED POINT THEORY CONCERNING GENERALIZED METRIC SPACES
    Fora, Ali
    Bellour, Azzeddine
    Al-Bsoul, Adnan
    [J]. MATEMATICKI VESNIK, 2009, 61 (03): : 203 - 208
  • [9] Two results in metric fixed point theory
    Daniel Reem
    Simeon Reich
    Alexander J. Zaslavski
    [J]. Journal of Fixed Point Theory and Applications, 2007, 1 : 149 - 157
  • [10] Two results in metric fixed point theory
    Reem, Daniel
    Reich, Simeon
    Zaslavski, Alexander J.
    [J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2007, 1 (01) : 149 - 157