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Self-Adaptive Extragradient Algorithms for Quasi-Equilibrium Problems

Author

Listed:
  • Tran Thang

    (Electric Power University)

  • Xuan Thanh Le

    (Vietnam Academy of Science and Technology)

Abstract

We propose two iterative algorithms for solving two classes of quasi-equilibrium problems in Hilbert spaces: pseudomonotone and quasimonotone ones. The algorithms combine the subgradient method and the projection method with self-adaptive step sizes. Convergence of our proposed algorithms requires a condition that is milder than the one commonly used in the existing papers. Numerical experiments show that our algorithms are efficient and competitive to other extragradient-type, projection-type, and proximal point algorithms in solving the problem.

Suggested Citation

  • Tran Thang & Xuan Thanh Le, 2024. "Self-Adaptive Extragradient Algorithms for Quasi-Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 203(3), pages 2988-3013, December.
    • Handle: RePEc:spr:joptap:v:203:y:2024:i:3:d:10.1007_s10957-024-02555-7
    DOI: 10.1007/s10957-024-02555-7
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    References listed on IDEAS

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