On the Parallel Subgradient Extragradient Rule for Solving Systems of Variational Inequalities in Hadamard Manifolds
نویسندگان
چکیده
In a Hadamard manifold, let the VIP and SVI represent variational inequality problem system of inequalities, respectively, where consists two inequalities which are symmetric structure mutually. This article designs parallel algorithms to solve via subgradient extragradient approach, each algorithm parts It is proven that, if underlying vector fields monotonicity, then sequences constructed by these converge solution SVI. We also discuss applications for approximating solutions VIP. Our theorems complement some recent important ones in literature.
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ژورنال
عنوان ژورنال: Symmetry
سال: 2021
ISSN: ['0865-4824', '2226-1877']
DOI: https://doi.org/10.3390/sym13081496