A NEW MODIFIED PROXIMAL POINT ALGORITHM FOR A FINITE FAMILY OF MINIMIZATION PROBLEM AND FIXED POINT FOR A FINITE FAMILY OF DEMICONTRACTIVE MAPPINGS IN HADAMARD SPACES

Abstract

In this paper, a new modified proximal point algorithm involving a finite family of minimization problem and fixed point for a finite family of demicontractive in Hadamard spaces is proposed. Some ∆-convergence and strong convergence theorems for the sequence generated by the algorithm are proved in Hadamard space withr suitable conditions. The results presented in the paper improve and generalize some recent results.