Applications of Mann's method to the split common fixed point problem

Multidirectional hybrid algorithm for the split common fixed point problem and application to the split common null point problem

In this article, a new multidirectional monotone hybrid iteration algorithm for finding a solution to the split common fixed point problem is presented for two countable families of quasi-nonexpansive mappings in Banach spaces. Strong convergence theorems are proved. The application of the result is to consider the split common null point problem of maximal monotone operators in Banach spaces. ...

A New Iterative Method for the Split Common Fixed Point Problem in Hilbert Spaces

The split common fixed-point problem is an inverse problem that consists in finding an element in a fixed-point set such that its image under a bounded linear operator belongs to another fixed-point set. In this paper, we propose a new algorithm that is completely different from the existing algorithms. Under standard assumptions, we establish a weak convergence theorem of the proposed algorith...

Applications of Fixed-Point and Optimization Methods to the Multiple-Set Split Feasibility Problem

The multiple-set split feasibility problem requires finding a point closest to a family of closed convex sets in one space such that its image under a linear transformation will be closest to another family of closed convex sets in the image space. It can be amodel for many inverse problemswhere constraints are imposed on the solutions in the domain of a linear operator as well as in the operat...

Strong Convergence Theorems for the Split Common Fixed Point Problem for Countable Family of Nonexpansive Operators

Strong Convergence Theorems for the Generalized Split Common Fixed Point Problem