Reduction of finite exhausters
This paper studies the theory of exhausters, introduced by \textit{V.\,F.\thinspace Demyanov} [Optimization 45, No.\, 1--4, 13--29 (1999; Zbl 0954.90050)] for the study of positively homogeneous functions. The authors consider only exhausters with a finite index set for elements in a semigroup. They introduce shadowing sets as a generalization of separating sets. In terms of shadowing sets, they give a criterion for the minimality of finite upper exhausters and an example of two different minimal upper exhausters of the same function.
scientific article; zbMATH DE number 5702525
scientific article