On Nonconvex Pseudomonotone Equilibrium Problems with Applications

On Nonconvex Pseudomonotone Equilibrium Problems with Applications

In this paper, we provide a further study for nonconvex pseudomonotone equilibrium problems and nonconvex mixed variational inequalities by using global directional derivatives. We provide finer necessary and sufficient optimality conditions for both problems in the pseudomonotone case and, as a con...

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Veröffentlicht in:Set-valued and variational analysis 2022-06, Vol.30 (2), p.355-372
1. Verfasser: Lara, F.
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Algorithms
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Equilibrium
Inequalities
Mathematics
Mathematics and Statistics
Optimization
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description In this paper, we provide a further study for nonconvex pseudomonotone equilibrium problems and nonconvex mixed variational inequalities by using global directional derivatives. We provide finer necessary and sufficient optimality conditions for both problems in the pseudomonotone case and, as a consequence, a characterization for a point to be a solution for nonconvex equilibrium problems is given. Finally, we apply the golden ratio algorithm for a class of nonconvex functions in equilibrium problems and mixed variational inequalities.
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subjects Algorithms
Analysis
Equilibrium
Inequalities
Mathematics
Mathematics and Statistics
Optimization
title On Nonconvex Pseudomonotone Equilibrium Problems with Applications
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