Strenge line-are Ungleichugen bezüglich kegelhalbordnungen

Abstract

In the present paper strict linear inequalities in the Rⁿ wit respect ot polyhedral semi-orderings are studied. A general alternative theorem reminding to a corresponding GORDAN theorem and a general existence theorem being similar to the TUCKER theorem are stated. In order to treat strict inequalities the conception of partially open polyhedral cones and a calculus for its strict dualization are developed. The corresponding strict semi-orderings are formed, too.