Abstract
We prove an Ekeland’s type vector variational principle for monotonically semicontinuous mappings with perturbations given by a convex bounded subset of directions multiplied by the distance function. This generalizes the existing results where directions of perturbations are singletons.
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Bednarczuk, E.M., Zagrodny, D. Vector variational principle. Arch. Math. 93, 577–586 (2009). https://doi.org/10.1007/s00013-009-0072-x
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DOI: https://doi.org/10.1007/s00013-009-0072-x