<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In a real linear space V , a set of directions O ⊂ V and a set of representative vectors M ⊂ V generate a double re- stricted concept of convexity: with directional and with particular punctual restrictions. A Krein-Milman type property for slack O- directionally convex sets with respect to M is derived in terms of double restricted extremal elements of a set.</p></abstract>

In a real linear space V , a set of directions O ⊂ V and a set of representative vectors M ⊂ V generate a double re- stricted concept of convexity: with directional and with particular punctual restrictions. A Krein-Milman type property for slack O- directionally convex sets with respect to M is derived in terms of double restricted extremal elements of a set.

Restricted Oriented Slack Convexity and Extremal Elements with Respect to a Set

West University of Timisoara, Timisoara, Romania

University "Aurel Vlaicu" of Arad, Arad, Romania

Annals of West University of Timisoara - Mathematics and Computer Science

{"article-title":"Restricted Oriented Slack Convexity and Extremal Elements with Respect to a Set"}

In a real linear space V , a set of directions O ⊂ V and a set of representative vectors M ⊂ V generate a double re- stricted concept of convexity: with...

Restricted Oriented Slack Convexity and Extremal Elements with Respect to a Set

Published Online: Nov 22, 2012

Page range: 27 - 37

DOI: https://doi.org/10.2478/v10324-012-0002-7

Keywords
Convex hull, convex set, direction, extremal element, slack convexity.

This content is open access.

Restricted Oriented Slack Convexity and Extremal Elements with Respect to a Set

Published Online: Nov 22, 2012

Page range: 27 - 37

DOI: https://doi.org/10.2478/v10324-012-0002-7

KeywordsConvex hull, convex set, direction, extremal element, slack convexity.

This content is open access.

Keywords
Convex hull, convex set, direction, extremal element, slack convexity.