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Golden ratio method for solving monotone variational inequality problems in Hadamard spaces.
- Source :
- Mathematical Methods in the Applied Sciences; Aug2024, Vol. 47 Issue 12, p10101-10116, 16p
- Publication Year :
- 2024
-
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]
- Subjects :
- GOLDEN ratio
VARIATIONAL inequalities (Mathematics)
MONOTONE operators
GEODESICS
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 47
- Issue :
- 12
- Database :
- Complementary Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 178354916
- Full Text :
- https://doi.org/10.1002/mma.10112