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Generalized vector equilibrium problems. (English) Zbl 1079.90594

Summary: We survey results concerning the existence of a solution to the generalized vector equilibrium problem which includes implicit vector variational inequality problems, extended generalized vector variational-like inequality problems, vector variational inequality problems and vector equilibrium problems as special cases. The analysis is done for both \(C_x\)-pseudomonotone and \(C_x\)-quasimonotone multifunctions and also without these monotonicities.

MSC:

90C29 Multi-objective and goal programming
90C47 Minimax problems in mathematical programming
91B50 General equilibrium theory
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