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：
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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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