Proximal point algorithms involving fixed point iteration for nonexpansive mappings in cat(κ) spaces

Proximal point algorithms involving fixed point iteration for nonexpansive mappings in cat(κ) spaces

© 2018, SINUS Association. All rights reserved. In this paper, we propose a new modified proximal point algorithm involving fixed point iteration for nonexpansive mappings in CAT(1) spaces. Under some mild conditions, we prove that the sequence generated by our iterative algorithm ∆-converges to a c...

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Bibliographic Details
Main Authors: Nuttapol Pakkaranang, Poom Kumam, Prasit Cholamjiak, Raweerote Suparatulatorn, Parin Chaipunya
Format: Journal
Published: 2018
Subjects:
Mathematics
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85055001070&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/62778
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Institution: Chiang Mai University
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Summary:© 2018, SINUS Association. All rights reserved. In this paper, we propose a new modified proximal point algorithm involving fixed point iteration for nonexpansive mappings in CAT(1) spaces. Under some mild conditions, we prove that the sequence generated by our iterative algorithm ∆-converges to a common solution between certain convex optimization and fixed point problems.

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