Proximal Point Algorithm for a Countable Family of Weighted Resolvent Averages

Malihe Bagheri, Mehdi Roohi

In this paper, we introduce a composite iterative algorithm for finding a common zero point of a countable family of weighted resolvent average of finite family of monotone operators in Hilbert spaces. We prove that the sequence generated by the iterative algorithm converges strongly to a common zero point. Finally, we apply our results to split common zero point problem.