Algorithms with strong convergence for the split common solution of the feasibility problem and fixed point problem

被引:0
作者
Yonghong Yao
Ravi P Agarwal
Mihai Postolache
Yeong-Cheng Liou
机构
[1] Tianjin Polytechnic University,Department of Mathematics
[2] Texas A&M University,Department of Mathematics
[3] King Abdulaziz University,Nonlinear Analysis and Applied Mathematics Research Group (NAAM)
[4] University ‘Politehnica’ of Bucharest,Faculty of Applied Sciences
[5] Cheng Shiu University,Department of Information Management
来源
Fixed Point Theory and Applications | / 2014卷
关键词
split feasibility problem; fixed point problem; pseudocontractive mapping;
D O I
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中图分类号
学科分类号
摘要
The purpose of this paper is to study the split feasibility problem and fixed point problem involved in the pseudocontractive mappings. We construct an iterative algorithm and prove its strong convergence.
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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(2006)A unified approach for inversion problems in intensity modulated radiation therapy Phys. Med. Biol 51 2353-2365
  • [3] Censor Y(2005)The multiple-sets split feasibility problem and its applications for inverse problems Inverse Probl 21 2071-2084
  • [4] Bortfeld T(2007)Perturbed projections and subgradient projections for the multiple-sets split feasibility problem J. Math. Anal. Appl 327 1244-1256
  • [5] Martin B(2002)Iterative oblique projection onto convex subsets and the split feasibility problem Inverse Probl 18 441-453
  • [6] Trofimov A(2004)A unified treatment of some iterative algorithms in signal processing and image reconstruction Inverse Probl 20 103-120
  • [7] Censor Y(2009)The split common fixed point problem for directed operators J. Convex Anal 16 587-600
  • [8] Elfving T(2005)A note on the CQ algorithm for the split feasibility problem Inverse Probl 21 1655-1665
  • [9] Kopf N(2005)Several solution methods for the split feasibility problem Inverse Probl 21 1791-1799
  • [10] Bortfeld T(2011)Cyclic algorithms for split feasibility problems in Hilbert spaces Nonlinear Anal 74 4105-4111