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.


Volume 11, Issue 2
December 2020
Pages 469-481
  • Receive Date: 19 December 2018
  • Revise Date: 28 November 2019
  • Accept Date: 02 July 2020