ON PROJECTION REFLECTION METHOD IN HILBERT SPACES

被引：0
|
作者：
Matsushita, Shin-Ya [1 ]
Xu, Li [1 ]
机构：
[1] Akita Prefectural Univ, Dept Elect & Informat Syst, Akita, Japan
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2015年 / 16卷 / 11期
关键词：
ALGORITHM;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the finite convergence of a variant of a projection reflection method for computing a point in the intersection of a closed convex set and an obtuse cone in a Hilbert space. We present a variant of the projection reflection method, and prove that the proposed variant converges to a solution to the problem in a finite number of iterations under certain assumptions.
引用
收藏
页码：2221 / 2226
页数：6
相关论文
共 50 条
  • [41] Cardinality of the metric projection on typical compact sets in Hilbert spaces
    De Blasi, FS
    Zamfirescu, TI
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1999, 126 : 37 - 44
  • [42] Strong convergence of two inertial projection algorithms in hilbert spaces
    Tan B.
    Xu S.
    Journal of Applied and Numerical Optimization, 2020, 2 (02): : 171 - 186
  • [43] Modified Inertial Projection Method for Solving Pseudomonotone Variational Inequalities with Non-Lipschitz in Hilbert Spaces
    Thong, Duong Viet
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2023, 39 (12) : 2374 - 2392
  • [44] A Modified Inertial Shrinking Projection Method for Solving Inclusion Problems and Split Equilibrium Problems in Hilbert Spaces
    Cholamjiak, Watcharaporn
    Khan, Suhel Ahmad
    Suantai, Suthep
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2019, 10 (02): : 191 - 213
  • [45] Modified Inertial Projection Method for Solving Pseudomonotone Variational Inequalities with Non-Lipschitz in Hilbert Spaces
    Duong Viet THONG
    ActaMathematicaSinica,EnglishSeries, 2023, (12) : 2374 - 2392
  • [46] Tseng's extragradient method with double projection for solving pseudomonotone variational inequality problems in Hilbert spaces
    Xie, Zhongbing
    Cai, Gang
    Li, Xiaoxiao
    Dong, Qiao-Li
    COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (04):
  • [47] Modified Inertial Projection Method for Solving Pseudomonotone Variational Inequalities with Non-Lipschitz in Hilbert Spaces
    Duong Viet Thong
    Acta Mathematica Sinica, English Series, 2023, 39 : 2374 - 2392
  • [48] Method of Guiding Functions in Hilbert Spaces
    Obukhovskii, Valeri
    Zecca, Pietro
    Nguyen Van Loi
    Kornev, Sergei
    METHOD OF GUIDING FUNCTIONS IN PROBLEMS OF NONLINEAR ANALYSIS, 2013, 2076 : 69 - 104
  • [49] A strongly convergent reflection method for finding the projection onto the intersection of two closed convex sets in a Hilbert space
    Bauschke, Heinz H.
    Combettes, Patrick L.
    Luke, D. Russell
    JOURNAL OF APPROXIMATION THEORY, 2006, 141 (01) : 63 - 69
  • [50] Projection method for Fractional Lavrentiev Regularisation method in Hilbert scales
    Mekoth, Chitra
    George, Santhosh
    Jidesh, P.
    Cho, Yeol Je
    JOURNAL OF ANALYSIS, 2023, 31 (02): : 1303 - 1333
12345