Three fixed point theorems for generalized contractions with constants in complete metric spaces

被引：137
|
作者：
Kikkawa, Misako [1 ]
Suzuki, Tomonari [2 ]
机构：
[1] Saitama Univ, Fac Sci, Dept Math, Sakura Ku, Saitama 3388570, Japan
[2] Kyushu Inst Technol, Dept Math, Kitakyushu, Fukuoka 8048550, Japan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 09期
关键词：
Contraction; Fixed point; The Banach contraction principle; Nadler's fixed point theorem;
D O I：
10.1016/j.na.2007.08.064
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove three fixed point theorems for generalized contractions with constants in complete metric spaces, which are generalizations of very recent fixed point theorems due to Suzuki. We also raise one problem concerning the constants. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2942 / 2949
页数：8
相关论文
共 50 条
  • [41] New fixed point theorems for --contractions in ordered metric spaces
    Parvaneh, Vahid
    Golkarmanesh, Farhan
    Hussain, Nawab
    Salimi, Peyman
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2016, 18 (04) : 905 - 925
  • [42] Coupled fixed point theorems for contractions in fuzzy metric spaces
    Sedghi, Shaban
    Altun, Ishak
    Shobe, Nabi
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) : 1298 - 1304
  • [43] FIXED-POINT THEOREMS IN COMPLETE METRIC SPACES
    DASS, BK
    KHAZANCHI, L
    COLLOQUIUM MATHEMATICUM, 1976, 34 (02) : 223 - 229
  • [44] Two fixed point theorems in complete metric spaces
    Huang, Huaping
    Samet, Bessem
    AIMS MATHEMATICS, 2024, 9 (11): : 30612 - 30637
  • [45] GENERALIZED FIXED POINT THEOREMS IN CONE METRIC SPACES
    Kim, Seung Hyun
    Lee, Byung Soo
    KOREAN JOURNAL OF MATHEMATICS, 2012, 20 (03): : 353 - 360
  • [46] FIXED POINT THEOREMS ON GENERALIZED FUZZY METRIC SPACES
    Ray, A. Deb
    Saha, P. K.
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2010, 39 (01): : 1 - 9
  • [47] COUPLED FIXED POINT THEOREMS IN GENERALIZED METRIC SPACES
    Shatanawi, W.
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2011, 40 (03): : 441 - 447
  • [48] On some fixed point theorems in generalized metric spaces
    ElKouch Y.
    Marhrani E.M.
    Fixed Point Theory and Applications, 2017 (1)
  • [49] Generalized probabilistic metric spaces and fixed point theorems
    Zhou, Caili
    Wang, Shenghua
    Ciric, Ljubomir
    Alsulami, Saud M.
    FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [50] Generalized probabilistic metric spaces and fixed point theorems
    Caili Zhou
    Shenghua Wang
    Ljubomir Ćirić
    Saud M Alsulami
    Fixed Point Theory and Applications, 2014
12345