Strong Convergence Theorems for Weighted Resolvent Average of a Finite Family of Monotone Operators

Document Type : Research Paper


Department of Mathematics, Faculty of Sciences, Golestan University, P.O.Box. 155, Gorgan, Iran


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.