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Generalized monotone bifunctions and equilibrium problems - MaRDI portal

Generalized monotone bifunctions and equilibrium problems (Q2564998)

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Generalized monotone bifunctions and equilibrium problems
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    Generalized monotone bifunctions and equilibrium problems (English)
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    9 December 1998
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    An equilibrium problem is studied in this paper which includes, e.g., the variational inequality as a special case. The existence of a solution for the equilibrium problem is derived using the quasimonotone condition. Moreover, characterizations, such as convexity and compactness, of the solution set for the equilibrium problem are also given.
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    equilibrium problem
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    variational inequality
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