Generalized Affine Functions and Generalized Differentials

N. T. H. Linh () and J.-P. Penot ()
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N. T. H. Linh: International University, Vietnam National University at Ho Chi Minh City
J.-P. Penot: Université Pierre et Marie Curie

Journal of Optimization Theory and Applications, 2012, vol. 154, issue 2, No 1, 338 pages

Abstract: Abstract We study some classes of generalized affine functions, using a generalized differential. We study some properties and characterizations of these classes and we devise some characterizations of solution sets of optimization problems involving such functions or functions of related classes.

Keywords: Colinvex; Colinfine; Generalized differential; Optimization problem; Protoconvex function; Pseudoconvex function; Pseudolinear function; Quasiconvex function (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10957-012-0051-4

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