Fixed Point Approximation of Nonexpansive Mappings on a Nonlinear Domain

被引：2
|
作者：
Khan, Safeer Hussain [1 ]
机构：
[1] Qatar Univ, Dept Math Stat & Phys, Doha 2713, Qatar
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
关键词：
DELTA-CONVERGENCE THEOREMS; HYPERBOLIC SPACES; CAT(0) SPACES; ITERATIONS;
D O I：
10.1155/2014/401650
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We use a three-step iterative process to prove some strong and Delta-convergence results for nonexpansive mappings in a uniformly convex hyperbolic space, a nonlinear domain. Three-step iterative processes have numerous applications and hyperbolic spaces contain Banach spaces (linear domains) as well as CAT(0) spaces. Thus our results can be viewed as extension and generalization of several known results in uniformly convex Banach spaces as well as CAT(0) spaces.
引用
收藏
页数：5
相关论文
共 50 条
  • [1] Fixed point property and approximation of a class of nonexpansive mappings
    Yisheng Song
    Ying Huang
    [J]. Fixed Point Theory and Applications, 2014
  • [2] Fixed point property and approximation of a class of nonexpansive mappings
    Song, Yisheng
    Huang, Ying
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [3] FIXED POINT THEOREMS FOR CERTAIN NONLINEAR NONEXPANSIVE MAPPINGS
    KIRK, WA
    ROYALTY, WD
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (02): : 411 - &
  • [4] Fixed point approximation of asymptotically nonexpansive mappings in hyperbolic spaces
    Fukhar-ud-din, Hafiz
    Kalsoom, Amna
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [5] Fixed point approximation of asymptotically nonexpansive mappings in hyperbolic spaces
    Hafiz Fukhar-ud-din
    Amna Kalsoom
    [J]. Fixed Point Theory and Applications, 2014
  • [6] Fixed Point Approximation of Monotone Nonexpansive Mappings in Hyperbolic Spaces
    Kalsoom, Amna
    Saleem, Naeem
    Isik, Huseyin
    Al-Shami, Tareq M.
    Bibi, Amna
    Khan, Hafsa
    [J]. JOURNAL OF FUNCTION SPACES, 2021, 2021
  • [7] FIXED-POINT THEOREMS FOR CERTAIN NONLINEAR NONEXPANSIVE MAPPINGS
    KIRK, WA
    ROYALTY, WD
    [J]. ILLINOIS JOURNAL OF MATHEMATICS, 1971, 15 (04) : 656 - &
  • [8] FIXED POINT THEOREMS FOR NONLINEAR NONEXPANSIVE AND GENERALIZED CONTRACTION MAPPINGS
    KIRK, WA
    [J]. PACIFIC JOURNAL OF MATHEMATICS, 1971, 38 (01) : 89 - &
  • [9] Approximation methods for a common fixed point of a finite family of nonexpansive mappings
    Zegeye, Habtu
    Shahzad, Naseer
    [J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2007, 28 (11-12) : 1405 - 1419
  • [10] Fixed Point Approximation for a Class of Generalized Nonexpansive Mappings in Hadamard Spaces
    Ullah, Kifayat
    Ahmad, Junaid
    Khan, Akbar Ali
    de la Sen, Manuel
    [J]. ADVANCES IN MATHEMATICAL PHYSICS, 2021, 2021
12345