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.

引用

页数：16

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