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.
Lorenz and Thomas Pock
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math.OC 2years
2026 2verdicts
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Authors propose and prove convergence for second-order continuous-time splitting dynamics solving stochastic monotone inclusions under closed-loop distributions, with strong and exponential rates under uniform and strong monotonicity.
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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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Second order splitting dynamics for stochastic monotone inclusions with closed loop distribution
Authors propose and prove convergence for second-order continuous-time splitting dynamics solving stochastic monotone inclusions under closed-loop distributions, with strong and exponential rates under uniform and strong monotonicity.