Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 11 2 2020 12 01 Strong Convergence Theorems for Weighted Resolvent Average of a Finite Family of Monotone Operators 469 481 4609 10.22075/ijnaa.2020.4609 EN Malihe Bagheri Department of Mathematics, Faculty of Sciences, Golestan University, P.O.Box. 155, Gorgan, Iran Mehdi Roohi Department of Mathematics, Faculty of Sciences, Golestan University, P.O.Box. 155, Gorgan, Iran Journal Article 2018 12 19 This paper is devoted to finding a zero point of a weighted resolvent average of a finite family of monotone operators. A new proximal point algorithm and its convergence analysis is given. It is shown that the sequence generated by this new algorithm, for a finite family of monotone operators converges strongly to the zero point of their weighted resolvent average. Finally, our results are illustrated by some numerical examples. Weighted resolvent average proximal point algorithm projection algorithm monotone operators https://ijnaa.semnan.ac.ir/article_4609_e567b3c4aea5037be4a186e99bc45cc5.pdf