شماره ركورد كنفرانس :
3502
عنوان مقاله :
Some geometrical properties of non-convex sets in nite dimensions
Author/Authors :
S Hassani School of Science - Federation University Australia - National ICT Australia, Melbourne, Australia , M Mammadov School of Science - Federation University Australia - National ICT Australia, Melbourne, Australia , M Jamshidi University of advanced technology, Kerman, Iran
كليدواژه :
σ-supporting cone , maximal conic gap , normal cone
عنوان كنفرانس :
چهل و پنجمين كنفرانس رياضي ايران
چكيده لاتين :
In this paper, the notions of σ-supporting cone and maximal conic gap are introduced. They are
based on the concept of "augmented normal cones". We characterize non-convex sets in nite dimensional
space Rn by applying the notion of maximal conic gap. The relationship between the maximal conic gap,
σ-supporting cones and Frechet normal cones is investigated.
