A hybrid steepest descent method for solving split feasibility problems involving nonexpansive mappings. (English) Zbl 1478.47081
Summary: The purpose of this paper is to introduce a hybrid steepest descent method for a common fixed point problem of a family of nonexpansive mappings and a split equilibrium problem. Strong convergence theorems of common elements are established in Hilbert spaces. Numerical results are also given to illustrate the efficiency of our algorithms.
MSC:
47J25 | Iterative procedures involving nonlinear operators |
47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |