A Merit Function for Variational Inequalities Applied to EquilibriumProblems
Computational Economics
Some Goldstein's type methods for co-coercive variant variational inequalities
Applied Numerical Mathematics
Global bounds for the distance to solutions of co-coercive variational inequalities
Operations Research Letters
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We introduce an approach, called the orthogonality theorem, for establishing the convergence of several algorithms for solving variational inequalities. This theorem, as well as several basic convergence theorems from the literature, impose the condition of strong-f-monotonicity on the problem function. We analyze and introduce some new results concerning this condition and provide a general overview of its properties. For example, we show the relationship between strong-f-monotonicity and convexity.