Approximating to a common fixed point and a minimizer of a convex function in Hadamard spaces
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Keywords:
Hadamard space, fixed point, balanced mapping, convex minimization problem, nonexpansive mapping, Mann iterationAbstract
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.
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