A variable-metric non-monotone line search method based on the Fukushima regularized gap function is introduced for mixed variational inequalities and equilibrium problems, with global convergence and R-linear rate proved under strong monotonicity.
Strongly quasiconvex functions: what we know (so far)
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2026 2verdicts
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Necessary and sufficient conditions for strong quasiconvexity of norms on convex sets are established in finite-dimensional spaces, with initial results on distance functions.
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A Variable-Metric Non-monotone Line Search Method for Mixed Variational Inequalities and Equilibrium Problems
A variable-metric non-monotone line search method based on the Fukushima regularized gap function is introduced for mixed variational inequalities and equilibrium problems, with global convergence and R-linear rate proved under strong monotonicity.
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On the Strong Quasiconvexity of Norms and Distance Functions
Necessary and sufficient conditions for strong quasiconvexity of norms on convex sets are established in finite-dimensional spaces, with initial results on distance functions.