Vector complementarity and minimal element problems
Journal of Optimization Theory and Applications
Functions without exceptional family of elements and complementarity problems
Journal of Optimization Theory and Applications
Exceptional Families, Topological Degree and Complementarity Problems
Journal of Global Optimization
On Vector Implicit Variational Inequalities and Complementarity Problems
Journal of Global Optimization
Topological Methods in Complementarity Theory (Nonconvex Optimization and Its Applications)
Topological Methods in Complementarity Theory (Nonconvex Optimization and Its Applications)
The (S)+ condition on generalized variational inequalities
Journal of Global Optimization
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Let $${\mathcal{Z}}$$ be an ordered Hausdorff topological vector space with a preorder defined by a pointed closed convex cone $${C \subset {\mathcal Z}}$$ with a nonempty interior. In this paper, we introduce exceptional families of elements w.r.t. C for multivalued mappings defined on a closed convex cone of a normed space X with values in the set $${L(X, {\mathcal Z})}$$ of all continuous linear mappings from X into $${\mathcal{Z}}$$ . In Banach spaces, we prove a vectorial analogue of a theorem due to Bianchi, Hadjisavvas and Schaible. As an application, the C-EFE acceptability of C-pseudomonotone multivalued mappings is investigated.