Abstract
This paper studies the notion of lower subdifferentiability from the view point of generalized conjugation. By this method the main properties of lower sub-differentiable functions are analysed. A related conjugation theory for Hölder and Lipschitz functions is developed, which is used to characterize those functions which can be expressed as a supremum of Hölder functions. Some applications to quasiconvex optimization and optimal control theory are examined.
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© 1988 Birkhäuser Verlag Basel
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Martinez-Legaz, J.E. (1988). On lower subdifferentiable functions. In: Hoffmann, KH., Zowe, J., Hiriart-Urruty, JB., Lemarechal, C. (eds) Trends in Mathematical Optimization. International Series of Numerical Mathematics/Internationale Schriftenreihe zur Numerischen Mathematik/Série internationale d’Analyse numérique, vol 84. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9297-1_14
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DOI: https://doi.org/10.1007/978-3-0348-9297-1_14
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