Iterative algorithms for minimum-norm fixed point of non-expansive mapping in hilbert space
Yong Cai, Yuchao Tang, Liwei Liu · Fixed Point Theory and Applications · 2012
Abstract The purpose of this article is to introduce two iterative algorithms for finding the least norm fixed point of nonexpansive mappings. We provide two algorithms, one implicit and another explicit, from which strong convergence theorems are obtained in Hilbert spaces. Then we apply these algorithms to solve some convex optimization problems. Furthermore, we use them to solve some split feasibility problems. The results of this article extend and improve several results presented in the literature in the recent past. Mathematics Subject Classification (2000): 47H09; 47H10; 90C25.