A new class of nonexpansive type mappings and fixed points

被引:8
|
作者
Ciric, LB [1 ]
机构
[1] Fac Mech Engn, YU-11000 Belgrade, Yugoslavia
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
  • [31] APPROXIMATING FIXED-POINTS OF NONEXPANSIVE MAPPINGS
    SENTER, HF
    DOTSON, WG
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 44 (02) : 375 - 380
  • [32] APPROXIMATING FIXED POINTS OF GENERALIZED NONEXPANSIVE MAPPINGS
    Razani, A.
    Salahifard, H.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2011, 37 (01) : 235 - 246
  • [33] Iterative approximation of fixed points of nonexpansive mappings
    Chidume, CE
    Chidume, CO
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 318 (01) : 288 - 295
  • [34] ON ALPHA-NONEXPANSIVE MAPPINGS AND FIXED POINTS
    FURI, M
    VIGNOLI, A
    ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI RENDICONTI-CLASSE DI SCIENZE FISICHE-MATEMATICHE & NATURALI, 1970, 48 (02): : 195 - &
  • [35] FIXED POINTS OF QUASI-NONEXPANSIVE MAPPINGS
    DOTSON, WG
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (01): : 231 - &
  • [36] Approximating fixed points of nonexpansive mappings in hyperspaces
    Liu, Zeqing
    Feng, Chi
    Kang, Shin Min
    Ume, Jeong Sheok
    FIXED POINT THEORY AND APPLICATIONS, 2007, 2007 (1)
  • [37] Fixed points of monotone nonexpansive mappings with a graph
    Monther Rashed Alfuraidan
    Fixed Point Theory and Applications, 2015
  • [38] FIXED POINTS OF NONEXPANSIVE MAPPINGS IN BANACH SPACES
    Golkar, F.
    Dianatifar, A.
    Aminpour, A. M.
    Sadeghi, M.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2014, 12 (04): : 295 - 303
  • [39] Picard Approximation of Fixed Points of Nonexpansive Mappings
    黄家琳
    Railway Engineering Science, 2003, (02) : 189 - 191
  • [40] FIXED POINTS OF A SEQUENCE OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
    Huang, Shuechin
    FIXED POINT THEORY, 2008, 9 (02): : 465 - 485