Iterative Scheme for Finding Solutions of the General Split Feasibility Problem and the General Constrained Minimization Problems

Abstract

Inspired by the  works of \cite{11}, \cite{22}, and \cite{33}, we introduce a method to solve solution of the general split feasibility problem. In the last section, we give the general constrained minimization problem and a lemma to show the relationship between these problems. The method utilized to solve this problem is presented. Our results expand some results of Ceng, Ansari and Yao \cite{Ceng Ansari Yao} and modify the results of Xu \cite{HongKunXu}.