Strong convergence theorems by hybrid methods for the split common null point problem in Banach spaces

被引：0
作者：
Wataru Takahashi
Jen-Chih Yao
机构：
[1] Kaohsiung Medical University,Center for Fundamental Science
[2] Keio University,Keio Research and Education Center for Natural Sciences
[3] Tokyo Institute of Technology,Department of Mathematical and Computing Sciences
[4] China Medical University,Center for General Education
[5] King Abdulaziz University,Department of Mathematics
来源：
Fixed Point Theory and Applications | / 2015卷
关键词：
split common null point problem; fixed point; metric resolvent; hybrid method; shrinking projection method; duality mapping; 47H05; 47H09;
D O I：
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摘要：
In this paper, we consider the split common null point problem in Banach spaces. Then using the hybrid method and the shrinking projection method in mathematical programming, we prove strong convergence theorems for finding a solution of the split common null point problem in Banach spaces.
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  • [1] Censor Y(1994)A multiprojection algorithm using Bregman projections in a product space Numer. Algorithms 8 221-239
  • [2] Elfving T(2014)The split common null point problem for maximal monotone mappings in Hilbert spaces and applications J. Nonlinear Convex Anal. 15 793-808
  • [3] Alsulami SM(2012)The split common null point problem J. Nonlinear Convex Anal. 13 759-775
  • [4] Takahashi W(2009)The split common fixed-point problem for directed operators J. Convex Anal. 16 587-600
  • [5] Byrne C(2010)The split common fixed point problem for demicontractive mappings Inverse Probl. 26 205-221
  • [6] Censor Y(2015)Iterative methods for generalized split feasibility problems in Hilbert spaces Set-Valued Var. Anal. 23 1349-1355
  • [7] Gibali A(2014)The split feasibility problem in Banach spaces J. Nonlinear Convex Anal. 15 372-379
  • [8] Reich S(2003)Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups J. Math. Anal. Appl. 279 439-445
  • [9] Censor Y(2003)Strong convergence theorems for resolvents of maximal monotone operators in Banach spaces Arch. Math. (Basel) 81 189-202
  • [10] Segal A(2000)Forcing strong convergence of proximal point iterations in a Hilbert space Math. Program., Ser. A 87 276-286
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