Projection methods of iterative solutions in Hilbert spaces

被引:0
|
作者
Feng Gu
Jing Lu
机构
[1] Hangzhou Normal University,Department of Mathematics
关键词
fixed point; monotone operator; nonexpansive mapping; variational inequality; zero point;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, zero points of the sum of two monotone mappings, solutions of a monotone variational inequality, and fixed points of a nonexpansive mapping are investigated based on a hybrid projection iterative algorithm. Strong convergence of the purposed iterative algorithm is obtained in the framework of real Hilbert spaces without any compact assumptions.
引用
收藏
相关论文
共 50 条
  • [1] Projection methods of iterative solutions in Hilbert spaces
    Gu, Feng
    Lu, Jing
    FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [2] SPLITTINGS AND ITERATIVE METHODS FOR APPROXIMATE SOLUTIONS TO SINGULAR OPERATOR EQUATIONS IN HILBERT SPACES
    GUDDER, SP
    NEUMANN, M
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1978, 62 (02) : 272 - 294
  • [3] An effective iterative projection method for variational inequalities in Hilbert spaces
    Dang Van Hieu
    Cho, Yeol Je
    Pham Kim Quy
    Nguyen Hai Ha
    SOFT COMPUTING, 2022, 26 (19) : 10207 - 10221
  • [4] An effective iterative projection method for variational inequalities in Hilbert spaces
    Dang Van Hieu
    Yeol Je Cho
    Pham Kim Quy
    Nguyen Hai Ha
    Soft Computing, 2022, 26 : 10207 - 10221
  • [5] Strong convergence of new iterative projection methods with regularization for solving monotone variational inequalities in Hilbert spaces
    Van Hieu, Dang
    Dung Muu, Le
    Ngoc Duong, Hoang
    Huu Thai, Buu
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (17) : 9745 - 9765
  • [6] STRONG-CONVERGENCE OF ALMOST SIMULTANEOUS BLOCK-ITERATIVE PROJECTION METHODS IN HILBERT-SPACES
    BUTNARIU, D
    CENSOR, Y
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1994, 53 (01) : 33 - 42
  • [7] Equilibrium Programming and New Iterative Methods in Hilbert Spaces
    Dang Van Hieu
    Pham Kim Quy
    Hoang Ngoc Duong
    Acta Applicandae Mathematicae, 2021, 176
  • [8] Iterative methods for a class of variational inequalities in Hilbert spaces
    Nguyen Buong
    Pham Thi Thu Hoai
    Nguyen Duong Nguyen
    Journal of Fixed Point Theory and Applications, 2017, 19 : 2383 - 2395
  • [9] Equilibrium Programming and New Iterative Methods in Hilbert Spaces
    Dang Van Hieu
    Pham Kim Quy
    Hoang Ngoc Duong
    ACTA APPLICANDAE MATHEMATICAE, 2021, 176 (01)
  • [10] Iterative methods for a class of variational inequalities in Hilbert spaces
    Nguyen Buong
    Pham Thi Thu Hoai
    Duong Nguyen
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (04) : 2383 - 2395