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Mixed equilibrium problems with weakly relaxed \(\alpha \)-monotone bifunction in Banach spaces - MaRDI portal

Mixed equilibrium problems with weakly relaxed \(\alpha \)-monotone bifunction in Banach spaces (Q2443710)

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Mixed equilibrium problems with weakly relaxed \(\alpha \)-monotone bifunction in Banach spaces
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    Mixed equilibrium problems with weakly relaxed \(\alpha \)-monotone bifunction in Banach spaces (English)
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    8 April 2014
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    Summary: We introduce the class of mixed equilibrium problems with the weakly relaxed \(\alpha \)-monotone bi-function in Banach spaces. Using the KKM technique, we obtain the existence of solutions for mixed equilibrium problem with weakly relaxed \(\alpha \)-monotone bi-function in Banach spaces. The results presented in this paper extend and improve the corresponding results in the existing literature.
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    mixed equilibrium problem
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    weakly relaxed \(\alpha \)-monotone bi-function
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    Banach space
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    KKM technique
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