Conic systems and sublinear mappings: equivalent approaches

Authors:
Javier PeñA
Affiliations:
Graduate School of Industrial Administration, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213-3890, USA
Venue:
Operations Research Letters
Year:
2004

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Abstract

It is known that linear conic systems are a special case of set-valued sublinear mappings. Hence the latter subsumes the former. In this note we observe that linear conic systems also contain set-valued sublinear mappings as a special case. Consequently, the former also subsumes the latter.