On some properties of paramonotone operators.
Total convexity for powers of the norm in uniformly convex Banach spaces.
Convergence Results for an Accelerated Nonlinear Cimmino Algorithm.
A generalized proximal point algorithm for the nonlinear complementarity problem
A generalized proximal point algorithm for the nonlinear complementarity problem
We consider a generalized proximal point method (GPPA) for solving the nonlinear complementarity problem with monotone operators in . It differs from the classical proximal point method discussed by Rockafellar for the problem of finding zeroes of monotone operators in the use of generalized distances, called -divergences, instead of the Euclidean one. These distances play not only a regularization role but also a penalization one, forcing the sequence generated by the method to remain in the interior...
Augmented Lagrangian methods for variational inequality problems
We introduce augmented Lagrangian methods for solving finite dimensional variational inequality problems whose feasible sets are defined by convex inequalities, generalizing the proximal augmented Lagrangian method for constrained optimization. At each iteration, primal variables are updated by solving an unconstrained variational inequality problem, and then dual variables are updated through a closed formula. A full convergence analysis is provided, allowing for inexact solution of the subproblems. ...
On iterative methods for linearly constrained entropy maximization
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