Approximating to a common fixed point and a minimizer of a convex function in Hadamard spaces

This paper considers approximate sequences convergent to a common solution to a family of fixed point problems and convex minimization problems.We found that the lemma used to prove a known convergence theorem has a gap in its proof, and we obtained a counterexample.Further, we get an analogous result by substituting the convex combination of finitely many points by the balanced mapping.