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
来源：
JOURNAL OF CONVEX ANALYSIS | 2025年 / 32卷 / 03期
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
  • [41] On vector quasi-saddle points of set-valued maps
    Lin, LJ
    Tsai, YL
    GENERALIZED CONVEXITY, GENERALIZED MONOTONICITY AND APPLICATIONS, 2005, 77 : 311 - 319
  • [42] Fixed points of some set-valued F-contractions
    Liu, Zeping
    Na, Xue
    Kwun, Young Chel
    Kang, Shin Min
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (11): : 5790 - 5805
  • [43] Fixed points of set-valued maps in locally complete spaces
    Bosch C.
    García C.L.
    Gilsdorf T.
    Gómez-Wulschner C.
    Vera R.
    Fixed Point Theory and Applications, 2017 (1)
  • [44] The homotopic invariance for fixed points of set-valued nonexpansive mappings
    Sims, B
    Xu, HK
    Yuang, GXZ
    FIXED POINT THEORY AND APPLICATIONS, VOL 2, 2001, : 93 - 104
  • [45] The homotopic invariance for fixed points of set-valued nonexpansive mappings
    Sims, B
    Xu, HK
    Yuan, GXZ
    FIXED POINT THEORY AND APPLICATIONS-BOOK, 2000, : 113 - 125
  • [46] A Fixed Point Theorem and Equivariant Points for Set-valued Mappings
    Shitanda, Yoshimi
    PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2009, 45 (03) : 811 - 844
  • [47] Optimality conditions for approximate quasi efficiency in set-valued equilibrium problems
    Das K.
    Nahak C.
    SeMA Journal, 2016, 73 (2) : 183 - 199
  • [48] Common fixed points of set-valued F-contraction mappings on domain of sets endowed with directed graph
    Mujahid Abbas
    Talat Nazir
    Tatjana Aleksić Lampert
    Stojan Radenović
    Computational and Applied Mathematics, 2017, 36 : 1607 - 1622
  • [49] 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
  • [50] Common fixed points of set-valued mappings in hyperconvex metric spaces
    M. Balaj
    E. D. Jorquera
    M. A. Khamsi
    Journal of Fixed Point Theory and Applications, 2018, 20
12345