Abstract

The main concern of this article is the stability of optimal points for sequences of functions under suitable assumptions about convergence of their epigraphs. The optimality is based on an improvement set given in the value space. Several theorems, obtained in two previous papers, about the existence and stability of optimal points related to sequences of sets in infinite dimensional spaces, are here used in the case of sequences of functions' images. Most part of the present results are new also in the case where the criteria of optimality is a cone or the spaces have finite dimension.

Author information

Contact details are reproduced from the original publication and may be historical.

Anna Rossi

DIME, Università di Genova, Piazzale Kennedy - Pad.D, 16129 Genova, Italy

rossi@dime.unige.it

Keywords

  • Vector optimization
  • improvement sets
  • variational convergence
  • stability of optimal points

Mathematics Subject Classification

49J45, 49K40, 90C31

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Suggested citation

P. Oppezzi, A. Rossi. “Stability of E-optimal Points for Sequences of Functions.” Journal of Convex Analysis 24 (2017), No. 4, 1169–1196. https://doi.org/10.68381/jca24068

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Published by Heldermann Verlag, 2017. Rights now held by Banach Press LLC.