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• W3164555454 abstract "We study the extragradient method for solving vector quasi-equilibrium problems in Banach spaces, which generalizes the extragradient method for vector equilibrium problems and scalar quasi-equilibrium problems. We propose a regularization procedure which ensures strong convergence of the generated sequence to a solution of the vector quasi-equilibrium problem, under standard assumptions on the problem without assuming neither any monotonicity assumption on the vector valued bifunction nor any weak continuity assumption of $f$ in its arguments that in the many well-known methods have been used. Also, we show that the boundedness of the generated sequences implies that the solution set of the vector quasi-equilibrium problem is nonempty, and prove the strong convergence of the generated sequences to a solution of the problem. Finally, we give some examples of vector quasi-equilibrium problems in several Banach spaces to which our main theorem can be applied. We also present some numerical experiments." @default.
• W3164555454 created "2021-06-07" @default.
• W3164555454 creator A5050216439 @default.
• W3164555454 date "2021-05-21" @default.
• W3164555454 modified "2023-09-27" @default.
• W3164555454 title "Convergence analysis of the extragradient method for vector quasi-equilibrium problems" @default.
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• W3164555454 hasPublicationYear "2021" @default.
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