Vector-valued variational principles

By C. Finet, Lucas Quarta, Christophe Troestler. 2003

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Ekeland's principle for vector equilibrium problems (2007, methodology): “In [8], the objective function takes its values in a real Banach space partially ordered by a closed convex pointed cone, while in [11] the space is a separated locally convex space ordered by a convex cone.”
Vector variational principle (2009, background): “Finally, it is an open question whether the vector counterpart of the Deville–Godefroy–Zizler principle proved in [8] can be generalized in the spirit of Theorem 4.”