Approximate Fixed Points for a Set-Valued Quasi-Contraction

被引:0
|
作者
Zaslavski, Alexander J. [1 ]
机构
[1] Technion Israel Inst Technol, Dept Math, Haifa, Israel
关键词
Complete metric space; fixed point; iterate; set-valued mapping; MAPPINGS; THEOREMS; SPACES;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study an iterative process induced by a set-valued quasi-contraction in a complete metric space and show it generates approximate fixed points under the presence of small computational errors.
引用
收藏
页码:927 / 936
页数:10
相关论文
共 50 条
  • [21] Common fixed points of compatible set-valued mappings
    Rhoades, BE
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 1996, 48 (3-4): : 237 - 240
  • [22] Common fixed points of set-valued F-contraction mappings on domain of sets endowed with directed graph
    Abbas, Mujahid
    Nazir, Talat
    Lampert, Tatjana Aleksic
    Radenovic, Stojan
    COMPUTATIONAL & APPLIED MATHEMATICS, 2017, 36 (04) : 1607 - 1622
  • [23] Generic Existence and Approximation of Fixed Points for Nonexpansive Set-valued Maps
    Francesco S. de Blasi
    Józef Myjak
    Simeon Reich
    Alexander J. Zaslavski
    Set-Valued and Variational Analysis, 2009, 17 : 97 - 112
  • [24] Generic Existence and Approximation of Fixed Points for Nonexpansive Set-valued Maps
    de Blasi, Francesco S.
    Myjak, Jozef
    Reich, Simeon
    Zaslavski, Alexander J.
    SET-VALUED AND VARIATIONAL ANALYSIS, 2009, 17 (01) : 97 - 112
  • [25] Common fixed points of set-valued mappings in hyperconvex metric spaces
    Balaj, M.
    Jorquera, E. D.
    Khamsi, M. A.
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (01)
  • [26] Fixed points for modified fuzzy ψ-contractive set-valued mappings in fuzzy metric spaces
    Hong, Shihuang
    FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [27] Fixed points of soft-set valued and fuzzy set-valued maps with applications
    Mohammed, Shehu Shagari
    Azam, Akbar
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 37 (03) : 3865 - 3877
  • [28] Fixed Point and Convergence Results for Nonexpansive Set-Valued Mappings
    Reich, Simeon
    Zaslavski, Alexander J.
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2021, 42 (15) : 1855 - 1863
  • [29] Iterative approximation of fixed points of quasi-contraction mappings in cone metric spaces
    Proinov, Petko D.
    Nikolova, Ivanka A.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [30] On common fixed points of quasi-contraction mappings in D-metric spaces
    Dhage, BC
    Rhoades, BE
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2002, 33 (05) : 677 - 690