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Vector variational inequalities with cone-pseudomonotone bifunctions. (English) Zbl 1087.90069
Summary: Two types of cone-pseudomonotone bifunctions have been introduced and the weaker form of pseudomonotonicity is used to establish an existence theorem for a Stampacchia-kind vector variational inequality problem given in terms of bifunctions. For a vector optimization problem, the necessary and sufficient optimality conditions in terms of an associated vector variational inequality problem have been established using a generalized form of cone pseudoconvexity of objective function.

MSC:
90C29 Multi-objective and goal programming
47J20 Variational and other types of inequalities involving nonlinear operators (general)
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