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Strong Convergence for the Alternating Halpern–Mann Iteration in CAT(0) Spaces

Strong Convergence for the Alternating Halpern–Mann Iteration in CAT(0) Spaces

.In this paper we consider, in the general context of CAT(0) spaces, an iterative schema which alternates between Halpern and Krasnoselskii–Mann style iterations. We prove, under suitable conditions, the strong convergence of this algorithm, benefiting from ideas from the proof mining program. We give quantitative information in the form of …