Golden ratio method for solving monotone variational inequality problems in Hadamard spaces
Sani Salisu,
Songpon Sriwongsa,
Poom Kumam
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.
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