Approximation of Nearest Common Fixed Point of Nonexpansive Mappings in Hilbert Spaces

被引：0
|
作者：
Shi Sheng Zhang
H. W. Joseph Lee
Chi Kin Chan
机构：
[1] Yibin University,Department of Mathematics
[2] Sichuan University,Department of Mathematics
[3] The Hong Kong Polytechnic University,Department of Applied Mathematics
[4] Hung Hom,undefined
[5] Kowloon,undefined
来源：
Acta Mathematica Sinica, English Series | 2007年 / 23卷
关键词：
common fixed point; family of nonexpansive mappings; nearest point projection; iterative scheme; 47H09; 65J15;
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摘要：
The purpose of this paper is to study the convergence problem of the iteration scheme xn+1 = λn+1y +(1–λn+1) Tn+1xn for a family of infinitely many nonexpansive mappings T1, T2, . . . in a Hilbert space. It is proved that under suitable conditions this iteration scheme converges strongly to the nearest common fixed point of this family of nonexpansive mappings. The results presented in this paper extend and improve some recent results.
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页码：1889 / 1896
页数：7
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