Variational inequalities governed by strongly pseudomonotone vector fields on Hadamard manifolds

Luong Van Nguyen, Nguyen Thi Huyen Thu, Nguyen Thai An · Applicable Analysis · 2021

We consider variational inequalities governed by strongly pseudomonotone vector fields on Hadamard manifolds. The existence and uniqueness results of the solution, linear convergence, error estimates and finite convergence for sequences generated by a modified projection method for solving variational inequalities are investigated. Some examples and numerical experiments are also given to illustrate our results.

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