Variable KM-like algorithms for fixed point problems and split feasibility problems

被引：0

作者：

Abdul Latif

Daya R Sahu

Qamrul H Ansari

机构：

[1] King Abdulaziz University,Department of Mathematics

[2] Banaras Hindu University,Department of Mathematics

[3] Aligarh Muslim University,Department of Mathematics

[4] King Fahd University of Petroleum and Minerals,Department of Mathematics & Statistics

来源：

Fixed Point Theory and Applications | / 2014卷

关键词：

split feasibility problems; fixed point problems; regularized algorithms; convergence analysis of algorithms;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The convergence analysis of a variable KM-like method for approximating common fixed points of a possibly infinitely countable family of nonexpansive mappings in a Hilbert space is proposed and proved to be strongly convergent to a common fixed point of a family of nonexpansive mappings. Our variable KM-like technique is applied to solve the split feasibility problem and the multiple-sets split feasibility problem. Especially, the minimum norm solutions of the split feasibility problem and the multiple-sets split feasibility problem are derived. Our results can be viewed as an improvement and refinement of the previously known results.

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