DOI: 10.24193/fpt-ro.2020.2.39

Authors: Hiroyuki Hirono and Yasunori Kimura

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

Key Words and Phrases: CAT(1) space, quasinonexpansive mapping, Δ-demiclosed mapping, Halpern itaration.

2010 Mathematics Subject Classification: 47H09, 47H10.

Published on-line: July 1st, 2020.

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