On lower subdifferentiable functions
Juan Enrique Martínez-Legaz · Birkhäuser Basel eBooks · 1988
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.