Abstract
In this chapter we generalize some results (see for instance [1]), which have been proved for sequences of convex functions, to saddle functions. More specifically, we are concerned here with concave-convex functions defined on finite dimensional spaces with values in the extended real line: the main result is Compactness Theorem 4.2, which allows us to give sufficient conditions in order to obtain the closure of epi-hypo limits by means of the pointwise limits of Yosida approximates.
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Cavazzuti, E., Pacchiarotti, N. (1989). Compactness and Boundedness for a Class of Concave-Convex Functions. In: Clarke, F.H., Dem’yanov, V.F., Giannessi, F. (eds) Nonsmooth Optimization and Related Topics. Ettore Majorana International Science Series, vol 43. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6019-4_2
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DOI: https://doi.org/10.1007/978-1-4757-6019-4_2
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