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Some results on quasipolyhedral convexity
Authors:M D Fajardo  M A López
Institution:(1) Departamento de Estadística e Investigación Operativa, Facultad de Ciencias, Universidad de Alicante, Alicante, Spain
Abstract:The objective of this paper is to analyze under what well-known operations the class of quasipolyhedral convex functions, which can be regarded as an extension of that of polyhedral convex functions, is closed. The operations that will be considered are those that preserve polyhedral convexity, such that the image and the inverse image under linear transformations, right scalar multiplication (including the case where λ=0+) and pointwise addition.
Keywords:Semi-infinite linear inequality systems  Polyhedral and quasipolyhedral convex sets  Recession function
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