Vector variational principle

  title={Vector variational principle},
  author={Ewa M. Bednarczuk and Dariusz Zagrodny},
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. Mathematics Subject Classification (2000). 58E30, 58E17, 65K10.