Evenly Convex Polyhedra: Finite Linear Systems Containing Strict Inequalities

Abstract

This chapter is about linear systems containing finitely many weak and/or strict inequalities, whose solution sets, provided they are nonempty, are called evenly convex polyhedral sets (e-polyhedra, in brief). Of course, all results in Chap. 1 on e-convex sets and their linear representations are valid here, but the finiteness of the linear representations of e-polyhedra allows to obtain specific results and methods.