In this paper, we introduce a viscosity-type proximal point algorithm which comprises of a finite sum of resolvents of monotone operators, and a generalized asymptotically nonexpansive mapping. We prove that the algorithm converges strongly to a common zero of a finite family of monotone operators, which is also a fixed point of a generalized asymptotically nonexpansive mapping in an Hadamard space. Furthermore, we give two numerical examples of our algorithm in finite dimensional spaces of real numbers and one numerical example in a non-Hilbert space setting, in order to show the applicability of our results.
"A viscosity iterative algorithm for a family of monotone inclusion problems in an Hadamard space." Bull. Belg. Math. Soc. Simon Stevin 27 (1) 127 - 152, may 2020. https://doi.org/10.36045/bbms/1590199308