JOURNAL ARTICLE

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

  • Published In: Mathematical Methods in the Applied Sciences, 2024, v. 47, n. 12. P. 10101 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Salisu, Sani; Sriwongsa, Songpon; Kumam, Poom 3 of 3

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. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Mathematical Methods in the Applied Sciences. 2024/08, Vol. 47, Issue 12, p10101
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2024
  • ISSN:0170-4214
  • DOI:10.1002/mma.10112
  • Accession Number:178354916
  • Copyright Statement:Copyright of Mathematical Methods in the Applied Sciences is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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