Bingchen Yao, Yamin Wang, Strong convergence of the alternating resolvent algorithm in Hilbert spaces, Vol. 2024 (2024), Article ID 15, pp. 1-11

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DOI: 10.23952/jnfa.2024.15

Received May 9, 2024; Accepted July 18, 2024; Published August 6, 2024

 

Abstract. In this paper, we introduce a viscosity alternating resolvent algorithm with over-relaxed parameters for finding a common zero point of two maximal monotone operators A and B. We give the strong convergence of the algorithm under a new error criterion and some mild conditions in Hilbert spaces.

 

How to Cite this Article:
B. Yao, Y. Wang, Strong convergence of the alternating resolvent algorithm in Hilbert spaces, J. Nonlinear Funct. Anal. 2024 (2024) 15.