Halpern-type proximal point algorithm in CAT(0) spaces
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Published:2023-07-16
Issue:
Volume:
Page:1-23
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ISSN:1230-3429
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Container-title:Topological Methods in Nonlinear Analysis
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language:
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Short-container-title:TMNA
Author:
Okeke Chibueze ChristianORCID
Abstract
A method which is a combination of the Halpern method and proximal point method
(PPA) is introduced in this paper. It is proved that the sequence of iterates generated by our method converges strongly
to a point which is a common solution to some monotone inclusion problem and fixed point problem in CAT$(0)$ spaces under some appropriate conditions.
Publisher
Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University
Subject
Applied Mathematics,Analysis