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

Abdul Latif, Daya R Sahu, Qamrul H Ansari
2014 Fixed Point Theory and Applications  
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
more » ... ultiple-sets split feasibility problem are derived. Our results can be viewed as an improvement and refinement of the previously known results. MSC: 47H10; 65J20; 65J22; 65J25
doi:10.1186/1687-1812-2014-211 fatcat:wzkmoeuk3jhfvkvacbkxh6t3qq