Golden ratio method for solving monotone variational inequality problems in Hadamard spaces

Journal article

Authors/Editors

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Publication Details

Author list: Salisu S.; Sriwongsa S.; Kumam P.

Publisher: Wiley

Publication year: 2024

Journal: Mathematical Methods in the Applied Sciences (0170-4214)

Volume number: 47

Issue number: 12

Start page: 10101

End page: 10116

Number of pages: 16

ISSN: 0170-4214

eISSN: 1099-1476

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85190795322&doi=10.1002%2fmma.10112&partnerID=40&md5=79e5ef04dff835b039f1897d9435e2d4

Languages: English-Great Britain (EN-GB)

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Abstract

In this article, a generalized variational inequality problem in the setting of Hadamard spaces is introduced and analyzed. For approximating a solution of the problem when the underlined mapping is monotone, an adaptive algorithm that requires the computation of only one proximal operator at each iteration is proposed. The work gives a step towards investigating monotone variational inequality problems in geodesic settings. © 2024 John Wiley & Sons Ltd.

Keywords

golden ratio iterative algorithm, monotone proximal operator