Bot, Radu Ioan ; Csetnek, Ernö Robert ; Wanka, Gert : On some abstract convexity notions in real linear spaces

Author(s):

Bot, Radu Ioan
Csetnek, Ernö Robert
Wanka, Gert

Title:

On some abstract convexity notions in real linear spaces

Electronic source:

application/pdf

Preprint series:

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 7, 2006

Mathematics Subject Classification:

52A01			[ Axiomatic and generalized convexity ]
15A03			[ Vector spaces, linear dependence, rank ]
52A41			[ Convex functions and convex programs ]

Abstract:

We introduce some abstract convexity notions in a real linear space and investigate which of the results from the convex analysis in topological vector spaces still work in a linear space. The differences between these abstract convexity notions and those established in spaces endowed with a topology are underlined by some examples.

Keywords:

abstract convexity, c-convex hull, c-convexity

Language:

English

Publication time:

5 / 2006