Split feasibility and fixed-point problems for asymptotically quasi-nonexpansive mappings

被引：7
|
作者：
Deepho, Jitsupa [1 ]
Kumam, Poom [1 ]
机构：
[1] King Mongkuts Univ Technol Thonburi KMUTT, Dept Math, Fac Sci, Bangkok 10140, Thailand
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年
关键词：
split feasibility problems; fixed point problems; relaxed extragradient methods; regularization; asymptotically quasi-nonexpansive mappings; maximal monotone mappings; INVERSE PROBLEMS; SETS; CONVERGENCE; PROJECTION; OPERATORS; WEAK;
D O I：
10.1186/1029-242X-2013-322
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to introduce and analyze a weakly convergent theorem by using the regularized method and the relaxed extragradient method for finding a common element of the solution set Gamma of the split feasibility problem and Fix(T) of fixed points of asymptotically quasi-nonexpansive mappings T in the setting of infinite-dimensional Hilbert spaces. Consequently, we prove that the sequence generated by the proposed algorithm converges weakly to an element of Fix(T) boolean AND Gamma under mild assumptions.
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页数：16
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