Generalized asymptotic contractions

被引:2
|
作者
Saeidi, Shahram [1 ]
Golkar, Faezeh [2 ]
机构
[1] Univ Kurdistan, Dept Math, Sanandaj Kurdistan 416, Iran
[2] Shahid Chamran Univ Ahvaz, Fac Math Sci & Comp, Dept Math, Ahvaz, Iran
关键词
Asymptotic contraction; fixed point; modular metric space; THEOREM; CONVERGENCE;
D O I
10.1007/s11784-017-0478-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In recent years, there have been considerable interests in the study of contractions and their generalizations. In this paper, some new concepts of asymptotic contractions of Boyd-Wong type and a generalized Meir-Keeler type are introduced and compared. Furthermore, various fixed point results for such classes of mappings in the context of modular metric spaces are derived. Most of the results are new even for metric spaces.
引用
收藏
页码:3163 / 3176
页数:14
相关论文
共 50 条
  • [31] ASYMPTOTIC BEHAVIOR OF CONTRACTIONS IN BANACH SPACES
    REICH, S
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1973, 44 (01) : 57 - 70
  • [32] ASYMPTOTIC CONTRACTIONS OF LIMINF-TYPE
    Saeidi, Shahram
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2016, 17 (08) : 1583 - 1591
  • [33] On asymptotic pointwise contractions in metric spaces
    Hussain, N.
    Khamsi, M. A.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (10) : 4423 - 4429
  • [34] ON GENERALIZED METRIC SPACES AND GENERALIZED CONVEX CONTRACTIONS
    Li, Cece
    Zhang, Dong
    FIXED POINT THEORY, 2018, 19 (02): : 643 - 658
  • [35] Asymptotic fixed points for nonlinear contractions
    Chen, Yong-Zhuo
    FIXED POINT THEORY AND APPLICATIONS, 2005, 2005 (02) : 213 - 217
  • [36] On Generalized Pata Type Contractions
    Jacob, Geno Kadwin
    Khan, M. S.
    Park, Choonkil
    Yun, Sungsik
    MATHEMATICS, 2018, 6 (02)
  • [37] DISCUSSION ON GENERALIZED NONLINEAR CONTRACTIONS
    Alam, Aftab
    Faruk, Sk
    Khan, Qamrul Haq
    UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2022, 84 (02): : 23 - 34
  • [39] DISCUSSION ON GENERALIZED NONLINEAR CONTRACTIONS
    Alam, Aftab
    Faruk, Sk
    Khan, Qamrul Haq
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2022, 84 (02): : 23 - 34
  • [40] ON A CLASS OF GENERALIZED GROUP CONTRACTIONS
    DOEBNER, HD
    MELSHEIM.O
    NUOVO CIMENTO A, 1967, 49 (02): : 306 - +