Adaptive step-size extragradient algorithm with variance reduction for solving mixed variational inequality problems

Key Points

• Convergence in mixed variational inequality problems is notably enhanced with an adaptive step-size mechanism, improving performance.
• The proposed method reports a variance reduction technique, significantly stabilizing convergence rates across various scenarios.
• Observational analysis using optimization models demonstrates effective results from the adaptive step-size extragradient algorithm.
• Results suggest this approach could revolutionize current strategies in tackling mixed variational inequality challenges.