ON NONEXPANSIVE MAPPINGS AND AN INVERSE-STRONGLY MONOTONE MAPPING IN HILBERT SPACES

被引:0
|
作者
Yuan, Qing [1 ]
机构
[1] Hangzhou Normal Univ, Sch Sci, Hangzhou, Zhejiang, Peoples R China
来源
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2015年
关键词
Nonexpansive mapping; Variational inequality; Fixed point; Inverse-strongly monotone mapping; Strong convergence;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this paper is to study fixed point problems of an infinite family of nonexpansive mappings and solution problems of a monotone variational inequality. Strong convergence theorems of common solutions are established in the framework of Hilbert spaces.
引用
收藏
页数:13
相关论文
共 50 条
  • [1] Some Results on an Infinite Family of Nonexpansive Mappings and an Inverse-Strongly Monotone Mapping in Hilbert Spaces
    Cheng, Peng
    Zhang, Anshen
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [2] Viscosity approximation methods for nonexpansive mappings and inverse-strongly monotone mappings in Hilbert spaces
    Wang S.
    Guo B.
    Journal of Applied Mathematics and Computing, 2008, 28 (1-2) : 351 - 365
  • [3] An iterative method for nonexpansive mappings and inverse-strongly monotone mappings
    Wang, Xiaozhe
    Zhang, Yagang
    2009 THIRD INTERNATIONAL SYMPOSIUM ON INTELLIGENT INFORMATION TECHNOLOGY APPLICATION, VOL 2, PROCEEDINGS, 2009, : 510 - 512
  • [4] ALGORITHMS CONSTRUCTION FOR NONEXPANSIVE MAPPINGS AND INVERSE-STRONGLY MONOTONE MAPPINGS
    Yao, Yonghong
    Liou, Yeong-Cheng
    Chen, Chia-Ping
    TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (05): : 1979 - 1998
  • [5] CONVERGENCE THEOREMS FOR NONEXPANSIVE MAPPINGS AND INVERSE-STRONGLY MONOTONE MAPPINGS
    Hao, Yan
    Shang, Meijuan
    FIXED POINT THEORY, 2010, 11 (02): : 273 - 288
  • [6] Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
    Iiduka, H
    Takahashi, W
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 61 (03) : 341 - 350
  • [7] A general iterative scheme for nonexpansive mappings and inverse-strongly monotone mappings
    Su Y.
    Shang M.
    Qin X.
    Journal of Applied Mathematics and Computing, 2008, 28 (1-2) : 283 - 294
  • [8] Viscosity Approximation Methods for Nonexpansive Mappings and Inverse-Strongly Monotone Mappings
    Zhang, Fang
    Su, Yong Fu
    PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION (ICMS2009), VOL 1, 2009, : 116 - 120
  • [9] Three-step iterations for nonexpansive mappings and inverse-strongly monotone mappings
    Shang, Meijuan
    Su, Yongfu
    Qin, Xiaolong
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2009, 22 (02) : 333 - 344
  • [10] ON THE CONVERGENCE OF ITERATIVE SEQUENCES FOR A FAMILY OF NONEXPANSIVE MAPPINGS AND INVERSE-STRONGLY MONOTONE MAPPINGS
    Cho, Sun Young
    Kang, Shin Min
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2011, 19 (01): : 49 - 66