Some results on quasipolyhedral convexity |
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Authors: | M D Fajardo M A López |
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Institution: | (1) Departamento de Estadística e Investigación Operativa, Facultad de Ciencias, Universidad de Alicante, Alicante, Spain |
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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.
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Keywords: | Semi-infinite linear inequality systems Polyhedral and quasipolyhedral convex sets Recession function |
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