Recession cones of star-shaped and co-star-shaped sets. (English) Zbl 1049.90122
Rubinov, Alexander (ed.) et al., Optimization and related topics. Selected papers of the 6th Australian optimization day miniconference, Ballarat, Australia, July 16, 1999, and the special sessions on nonlinear dynamics and optimization and operations research – methods and applications, Melbourne, Australia, July 11–15, 1999 (part of the joint meeting of the American Mathematical Society and Australian Mathematical Society). Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6732-4). Appl. Optim. 47, 403-414 (2001).
Summary: Recession cones of radiant and co-radiant sets are examined. We describe some properties of these cones, establish connections between the recession cones of a set and its boundary and between the recession cones of a set and its regular complement. We also study the recession cone of the sum of two sets.
For the entire collection see [Zbl 0974.00048].
For the entire collection see [Zbl 0974.00048].
