A new class of nonexpansive type mappings and fixed points

被引：9
|
作者：
Ciric, LB [1 ]
机构：
[1] Fac Mech Engn, YU-11000 Belgrade, Yugoslavia
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 1999年 / 49卷 / 04期
关键词：
nonexpansive type mapping; asymptotically regular mapping; fixed point;
D O I：
10.1023/A:1022473622389
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper a new class of self-mappings on metric spaces, which satisfy the nonexpensive type condition (3) below is introduced and investigated. The main result is that such mappings have a unique fixed point. Also, a remetrization theorem, which is converse to Banach contraction principle is given.
引用
收藏
页码：891 / 899
页数：9
相关论文
共 50 条
  • [41] FIXED POINTS OF A SEQUENCE OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
    Huang, Shuechin
    FIXED POINT THEORY, 2008, 9 (02): : 465 - 485
  • [42] New iteration scheme for numerical reckoning fixed points of nonexpansive mappings
    Thakur, Dipti
    Thakur, Balwant Singh
    Postolache, Mihai
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [43] New iteration scheme for numerical reckoning fixed points of nonexpansive mappings
    Dipti Thakur
    Balwant Singh Thakur
    Mihai Postolache
    Journal of Inequalities and Applications, 2014
  • [44] Approximating Common Fixed Points of Nonspreading-Type Mappings and Nonexpansive Mappings in a Hilbert Space
    Kim, Kyung Soo
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [45] Weak and strong convergence theorems of fixed points for nonexpansive mappings and strongly pseudocontractive mappings in a new class of probabilistic normed spaces
    Yongchun Xu
    Jinyu Guan
    Yongfu Su
    Fixed Point Theory and Applications, 2015
  • [46] Weak and strong convergence theorems of fixed points for nonexpansive mappings and strongly pseudocontractive mappings in a new class of probabilistic normed spaces
    Xu, Yongchun
    Guan, Jinyu
    Su, Yongfu
    FIXED POINT THEORY AND APPLICATIONS, 2015,
  • [47] Approximate Fixed Points for Nonexpansive and Quasi-Nonexpansive Mappings in Hyperspaces
    Zeqing Liu
    Jeong Sheok Ume
    Shin Min Kang
    Fixed Point Theory and Applications, 2009
  • [48] Approximate Fixed Points for Nonexpansive and Quasi-Nonexpansive Mappings in Hyperspaces
    Liu, Zeqing
    Ume, Jeong Sheok
    Kang, Shin Min
    FIXED POINT THEORY AND APPLICATIONS, 2009,
  • [49] COMMON FIXED POINTS FOR GENERALIZED ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
    Chandok, Sumit
    Narang, T. D.
    TAMKANG JOURNAL OF MATHEMATICS, 2013, 44 (01): : 23 - 29
  • [50] A dichotomy theorem on fixed points of several nonexpansive mappings
    Feder, Tomas
    SIAM JOURNAL ON DISCRETE MATHEMATICS, 2006, 20 (02) : 291 - 301
12345