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Convergence of Proximal Point Algorithms of Mann and Halpern Hybrid Types to a Zero of Monotone Operators in CAT(0) Spaces
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Convergence of Proximal Point Algorithms of Mann and Halpern Hybrid Types to a Zero of Monotone Operators in CAT(0) Spaces
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Journal Article
Convergence of Proximal Point Algorithms of Mann and Halpern Hybrid Types to a Zero of Monotone Operators in CAT(0) Spaces
2018
Overview
In this paper, by the classic Mann-type and Halpern-type algorithms, on the basis of monotone operators with firmly nonexpansive property, we build Mann-Halpern type and Halpern-Mann type proximal point algorithms about a zero of monotone operators in Hadamard space, and prove strong convergence and Δ-convergence to a zero of monotone operators, respectively.
Publisher
International Scientific Press
Subject
