"An accelerated Visco-Cesaro means Tseng Type splitting method for fixed point and monotone inclusion problems"

Abstract

"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 η-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."