Proximal point algorithm for nonlinear multivalued type mappings in Hadamard spaces

Conference proceedings article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Kumam W., Kitkuan D., Padcharoen A., Kumam P.

Publisher: Wiley

Publication year: 2019

Volume number: 42

Issue number: 17

Start page: 5758

End page: 5768

Number of pages: 11

ISSN: 0170-4214

eISSN: 1099-1476

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85075053084&doi=10.1002%2fmma.5552&partnerID=40&md5=e1ca0bafe3db733d57045b8fadcaf20e

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we modify the proximal point algorithm for finding common fixed points in CAT(0) spaces for nonlinear multivalued mappings and a minimizer of a convex function and prove Δ-convergence of the proposed algorithm. A numerical example is presented to illustrate the convergence result. Our results improve and extend the corresponding results in the literature. © 2019 John Wiley & Sons, Ltd.

Keywords

nonlinear multivalued mappings