Abstract
In this paper, we consider a problem related to a generalized Nash equilibrium problem, known as, a quasi-equilibrium problem. Generally, such problem is discussed using a real valued bifunction. The so called vector quasi-equilibrium problem is the extension to the vector setting of the quasi-equilibrium problem. Therefore, we consider a sequence generated from a modified extragradient method, called an alternative extragradient method, for obtaining the convergence theorem to a solution of the vector quasi-equilibrium problem.
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Acknowledgements
The first author would like to thank Science Achievement Scholarship of Thailand (SAST). The authors acknowledge the financial support provided by the Center of Excellence in Theoretical and Computational Science (TaCS-CoE), KMUTT. Finally, the authors would like to express our thanks to referees for their valuable comments and suggestions.
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Dechboon, P., Kumam, P., Chaipunya, P. (2022). An Alternative Extragradient Method for a Vector Quasi-Equilibrium Problem to a Vector Generalized Nash Equilibrium Problem. In: Ngoc Thach, N., Kreinovich, V., Ha, D.T., Trung, N.D. (eds) Financial Econometrics: Bayesian Analysis, Quantum Uncertainty, and Related Topics. ECONVN 2022. Studies in Systems, Decision and Control, vol 427. Springer, Cham. https://doi.org/10.1007/978-3-030-98689-6_4
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