In this paper, we study a variant of Tseng’s splitting method for monotone inclusion problem and fixed point problem associated with a finite family of \eta-demimetric mappings in Hilbert spaces. The proposed algorithm is based on the combination of classical Tseng’s method together with the viscosity Ces’aro means method and the Nesterov’s acceleration method. The proposed iterative method exhibits accelerated strong convergence characteristics under suitable set of control conditions in such framework. Finally, we provide a numerical example to illustrate the applicability of the proposed algorithm as well as some useful abstract applications.

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 Arfat, Yasir,  Kumam, Poom,  Ngiamsunthorn, Parinya Sa, Khan, Muhammad Aqeel Ahmad