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

Mihail Găianu; Gabriela Cristescu

doi:10.2478/v10324-012-0002-7

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

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 50 (2012): Issue 1 (November 2012)

By: Mihail Găianu and Gabriela Cristescu

Open Access

|Nov 2012

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.

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