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

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Pakkaranang N., Kumam P., Cholamjiak P., Suparatulatorn R., Chaipunya P.

Publisher: SINUS Association

Publication year: 2018

Volume number: 34

Issue number: 2

Start page: 229

End page: 237

Number of pages: 9

ISSN: 1584-2851

eISSN: 1584-2851

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85055001070&partnerID=40&md5=20cca85c7c7019ee82dea1f0cc433a35

Languages: English-Great Britain (EN-GB)

Abstract

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. © 2018, SINUS Association. All rights reserved.

Keywords

CAT(κ) spaces