Viscosity method for hierarchical variational inequalities and variational inclusions on Hadamard manifolds

Explicit Iterative Method for Variational Inequalities on Hadamard Manifolds

Two-Step Methods for Variational Inequalities on Hadamard Manifolds

In this paper, we suggest and analyze a two-step method for solving the variational inequalities on Hadamard manifold using the auxiliary principle technique. The convergence of this new method requires only the partially relaxed strongly monotonicity, which is a weaker condition than monotonicity. Results can be viewed as refinement and improvement of previously known results.

Implicit Iterative Method for Hierarchical Variational Inequalities

1 Scientific Computing Key Laboratory of Shanghai Universities, Department of Mathematics, Shanghai Normal University, Shanghai 200234, China 2 Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India 3 Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia 4 Department of Applied Mathematics, National Sun Yat-se...

Hadamard Well-posedness for a Family of Mixed Variational Inequalities and Inclusion Problems‎

In this paper, the concepts of well-posednesses and Hadamard well-posedness for a family of mixed variational inequalities are studied. Also, some metric characterizations of them are presented and some relations between well-posedness and Hadamard well-posedness of a family of mixed variational inequalities is studied. Finally, a relation between well-posedness for the family of mixed variatio...

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

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 ...