Abstract
We propose and study an alternating inertial algorithm for approximating a solution to the variational inequality problem on an Hadamard manifold. The proposed method combines the inertial technique and the Tseng extragradient method with self-adaptive step sizes. We establish some convergence results for our iterative procedure when the variational inequality problem is governed by pseudomonotone vector fields. We present the results of some numerical experiments which show the competitive advantage of our algorithm over earlier methods in the literature.
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