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Generalized Affine Functions and Generalized Differentials

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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.

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Authors and Affiliations

  1. International University, Vietnam National University at Ho Chi Minh City, Quarter 6, Linh Trung Ward, Thu Duc District, Ho Chi Minh City, Vietnam

    N. T. H. Linh

  2. Laboratoire J.-L. Lions, Université Pierre et Marie Curie, 4 place Jussieu, 75005, Paris, France

    J.-P. Penot

Authors
  1. N. T. H. Linh
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  2. J.-P. Penot
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Correspondence to N. T. H. Linh.

Additional information

Communicated by Jean-Pierre Crouzeix.

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Linh, N.T.H., Penot, JP. Generalized Affine Functions and Generalized Differentials. J Optim Theory Appl 154, 321–338 (2012). https://doi.org/10.1007/s10957-012-0051-4

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  • DOI: https://doi.org/10.1007/s10957-012-0051-4

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