Strong and Converse Fenchel Duality for Vector Optimization Problems in Locally Convex Spaces

@inproceedings{GRAD2009StrongAC,
  title={Strong and Converse Fenchel Duality for Vector Optimization Problems in Locally Convex Spaces},
  author={ANCA GRAD},
  year={2009}
}
  • ANCA GRAD
  • Published 2009
In relation to the vector optimization problem v-minx∈X(f + g ◦ A)(x), with f, g proper and cone-convex functions and A : X → Y a linear continuous operator between separated locally convex spaces, we define a general vector Fenchel-type dual problem. For the primal-dual pair we prove weak, and under appropriate regularity conditions, strong and converse duality. In the particular case when the image space is R we compare the new dual with two other duals, whose definitions were inspired from… CONTINUE READING

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