The purpose of this article is to propose a modified viscosity implicit-type proximal point algorithm for approximating a common solution of a monotone inclusion problem and a fixed point problem for an asymptotically nonexpansive mapping in Hadamard spaces. Under suitable conditions, some strong convergence theorems of the proposed algorithms to such a common solution are proved. Our results extend and complement some recent results in this direction.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC6154173PMC
http://dx.doi.org/10.1186/s13660-018-1825-5DOI Listing

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