On modified proximal point algorithms for solving minimization problems and fixed point problems in CAT(κ) spaces

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Publication Details

Author list: Pakkaranang N., Kumam P., Wen C.-F., Yao J.-C., Cho Y.J.

Publisher: Wiley

Publication year: 2019

Volume number: 44

Issue number: 17

ISSN: 0170-4214

eISSN: 1099-1476

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85074780972&doi=10.1002%2fmma.5965&partnerID=40&md5=ba506feb650e9650db55aadc58291582

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we show the existence of solutions of the convex minimization problems and common fixed problems in CAT(1) spaces under some mild conditions. For this, we propose the new modified the proximal point algorithm. Further, we give some applications for the convex minimization problem and the fixed point problem in CAT(κ) spaces with the bounded positive real number κ. Our results improve and generalize many recent important results in the literature. © 2019 John Wiley & Sons, Ltd.

Keywords

CAT(1) spaces, resolvent operator