An Extragradient-type Algorithm for Variational Inequality on Hadamard Manifolds
Abstract
The aim of this paper is to present an extragradient method for variational inequality associated to a point-to-set vector field in Hadamard manifolds and to study its convergence properties. In order to present our method the concept of $\epsilon$-enlargement of maximal monotone vector fields is used and its lower-semicontinuity is stablished in order to obtain the convergence of the method in this new context.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2018
- DOI:
- 10.48550/arXiv.1804.09292
- arXiv:
- arXiv:1804.09292
- Bibcode:
- 2018arXiv180409292B
- Keywords:
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- Mathematics - Optimization and Control