Title

Quasi-relative Interiors for Graphs of Convex Set-valued Mappings

Published In

Optimization Letters

Document Type

Citation

Publication Date

6-2019

Abstract

This paper aims at providing further studies of the notion of quasi-relative interior for convex sets. We obtain new formulas for representing quasi-relative interiors of convex graphs of set-valued mappings and for convex epigraphs of extended-real-valued functions defined on locally convex topological vector spaces. We also show that the role, which this notion plays in infinite dimensions and the results obtained in this vein, are similar to those involving relative interior in finite-dimensional spaces.

Rights

© 2021 Springer Nature

DOI

10.1007/s11590-019-01447-4

Persistent Identifier

https://archives.pdx.edu/ds/psu/36395

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