Approximating fixed points of Suzuki-generalized nonexpansive mappings

被引：33
|
作者：
Phuengrattana, Withun [1 ]
机构：
[1] Nakhon Pathom Rajabhat Univ, Fac Sci & Technol, Math Program, Nakhon Pathom 73000, Thailand
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2011年 / 5卷 / 03期
关键词：
Fixed point; Nonexpansive mapping; Convergence theorem; Uniformly convex Banach spaces; CAT(0) spaces; INVARIANT APPROXIMATIONS; CONVERGENCE THEOREMS; CAT(0);
D O I：
10.1016/j.nahs.2010.12.006
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we prove weak and strong convergence theorems for Ishikawa iteration of Suzuki-generalized nonexpansive mappings in uniformly convex Banach spaces. Furthermore, we extend the results to CAT(0) spaces. Our work extends the results of Suzuki [T. Suzuki, Fixed point theorems and convergence theorems for some generalized nonexpansive mapping, J. Math. Anal. Appl. 340 (2008) 1088-1095] and Takahashi and Kim [W. Takahashi, G.E. Kim, Approximating fixed points of nonexpansive mappings in Banach spaces, Math. Jpn. 48 (1998) 1-9]. (C) 2011 Elsevier Ltd. All rights reserved.
引用
下载
收藏
页码：583 / 590
页数：8
相关论文
共 50 条
  • [11] Fixed point theorems and convergence theorems for Suzuki-generalized nonexpansive mappings in CAT(0) spaces
    Nanjaras, B.
    Panyanak, B.
    Phuengrattana, W.
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2010, 4 (01) : 25 - 31
  • [12] 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)
  • [13] Approximating Fixed Points of Nonexpansive Mappings in Hyperspaces
    Zeqing Liu
    Chi Feng
    Shin Min Kang
    Jeong Sheok Ume
    Fixed Point Theory and Applications, 2007
  • [14] Approximating Fixed Points of Reich-Suzuki Type Nonexpansive Mappings in Hyperbolic Spaces
    Ullah, Kifayat
    Ahmad, Junaid
    De La sen, Manuel
    Khan, Muhammad Naveed
    JOURNAL OF MATHEMATICS, 2020, 2020
  • [15] The Finite Family L-Lipschitzian Suzuki-Generalized Nonexpansive Mappings
    Suanoom, Cholatis
    Sriwichai, Kittikorn
    Klin-Eam, Chakkrid
    Khuangsatung, Wongvisarut
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2019, 10 (01): : 55 - 69
  • [16] Approximating fixed points of total asymptotically nonexpansive mappings
    YaI Alber
    CE Chidume
    H Zegeye
    Fixed Point Theory and Applications, 2006
  • [17] Approximating fixed points of total asymptotically nonexpansive mappings
    Alber, Ya. I.
    Chidume, C. E.
    Zegeye, H.
    FIXED POINT THEORY AND APPLICATIONS, 2006, 2006 (1)
  • [18] Approximating Fixed Points for Nonexpansive Mappings and Generalized Mixed Equilibrium Problems in Banach Spaces
    Cholamjiak, L.
    Suantai, S.
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2012, 3 (02): : 49 - 58
  • [19] APPROXIMATING FIXED POINTS OF GENERALIZED α-REICH-SUZUKI NONEXPANSIVE MAPPING IN CAT(0) SPACE
    Uddin, Izhar
    Khatoon, Sabiya
    Colao, Vittorio
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (09) : 2139 - 2150
  • [20] A New Iteration Scheme For Approximating Fixed Points of Nonexpansive Mappings
    Thakur, Balwant Singh
    Thakur, Dipti
    Postolache, Mihai
    FILOMAT, 2016, 30 (10) : 2711 - 2720
12345