Halpern type iteration with two mappings in a complete geodesic space

Hiroyuki Hirono, Yasunori Kimura · Fixed Point Theory · 2020

In this paper, we show a strong convergence theorem for the Halpern iteration procedure in a complete CAT(1) space with two quasinonexpansive -demiclosed mappings. We consider a sequence of coefficients for convex combination in the iterative scheme and find a certain discontinuity of the limit.

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