ZHANG Shi-sheng. On the Iterative Approximation Problem of Fixed Points for Asymptotically Nonexpansive Type Mappings in Banach Spaces[J]. Applied Mathematics and Mechanics, 2001, 22(1): 23-31.
Citation: ZHANG Shi-sheng. On the Iterative Approximation Problem of Fixed Points for Asymptotically Nonexpansive Type Mappings in Banach Spaces[J]. Applied Mathematics and Mechanics, 2001, 22(1): 23-31.

On the Iterative Approximation Problem of Fixed Points for Asymptotically Nonexpansive Type Mappings in Banach Spaces

  • Received Date: 1999-09-03
  • Rev Recd Date: 2000-10-02
  • Publish Date: 2001-01-15
  • Some iterative approximation theorems of fixed points for asymptotically nonexpansive type mappings in Banach spaces are obtained.
  • loading
  • [1]
    Goebel K, Kirk W A. A fixed point theorem for a symptotically nonexpansive mappings[J]. Proc Amer Math Soc,1972,35(1):171-174.
    [2]
    Kirk W A. Fixed point theorems for non-Lipschitzian mappings of as ymptotically nonexpansive type[J]. Israel J Math,1974,11:339-346.
    [3]
    Xu H K. Inequalities in Banach spaces with applications[J]. Nonlinear Anal TMA,1991,16(12):1127-1138.
    [4]
    CHANG Shih-sen, Cho Y J, Jung J S, et al. Iterative approxi mation of fixed point and solutions for strongly accretive and strongly pseudo-contr active mappings in Banach spaces[J]. J Math Anal Appl,1998,224:149-165.
    [5]
    Xu H K. Existence an convergence for fixed points of mappings of a symptotically nonexpansive type[J]. Nonlinear Anal TMA,1991,16(12):1139-1146.
    [6]
    Liu Q H. Convergence theorems of the sequence of iterates for asymptotically demi-contractive and hemi-contractive mappings[J]. Nonlinear Anal TMA,1996,26(11):1835-1842.
    [7]
    Schu J. Iterative construction of fixed points of asymptoticallyn onexpansive mappings[J]. J Math Anal Appl,1991,158:407-413.
    [8]
    Zeng L C. A note on approximating fixed points of nonexpansive mapping by the Ishikawa iterative processes[J]. J Math Anal Appl,1998,226:245-250.
    [9]
    Kirk W A, Torrejon R. An asymptotically nonexpansive semigroup in Banach space[J]. Nonlinear Anal TMA,1979,1:111-121.
    [10]
    CHANG Shih-sen. On Chidume's open questions and approximate solutions of multivalued strongly accretive mapping equations in Banach spaces[J]. J Math Anal Appl,1997,216:94-111.
    [11]
    Reich S. Extension problems for accretive sets in Banach spaces[J]. J Func Anal,1997,26:378-395.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2311) PDF downloads(661) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return