Proximal Point Methods for Solving Mixed Variational Inequalities on the Hadamard Manifolds

الملخص EN

We use the auxiliary principle technique to suggest and analyze a proximal point method for solving the mixed variational inequalities on the Hadamard manifold.

It is shown that the convergence of this proximal point method needs only pseudomonotonicity, which is a weaker condition than monotonicity.

Some special cases are also considered.

Results can be viewed as refinement and improvement of previously known results.