  The purpose of this paper is to propose and analyze a multi-step iterative
algorithm to solve a convex optimization problem and a fixed point problem
posed on a Hadamard space. The convergence properties of the proposed algorithm
are analyzed by employing suitable conditions on the control sequences of
parameters and the structural properties of the under lying space. We aim to
establish strong and del-convergence results of the proposed iterative
algorithm and compute an optimal solution for a minimizer of proper convex
lower semicontinuous function and a common fixed point of a finite family of
total asymptotically nonexpansive mappings in Hadamard spaces. Our results can
be viewed as an extension and generalization of various corresponding results
established in the current literature.
