Common solutions of a finite family of minimization problems and fixed point problems in Hadamard manifolds

Abstract

In this paper, an iterative algorithm to approximate a common solution of a finite family of minimization problems and fixed point problems of a finite family of demicontractive mappings in Hadamard manifolds is proposed. Under suitable conditions, some convergence theorems of the sequence generated by the algorithm to the common solution of the two problems in Hardmard manifolds are proved.