Abstract
In a preceding paper we have proved a formula giving the subdifferential of the sum of two convex functions defined on a reflexive Banach space in terms of limits of some sequences with respect to the norm of the dual space. The present paper continues the program and shows how sequences and the norm topology can be replaced respectively by some nets and the weak-star topology to get a similar formula whenever the underlying Banach space is not necessarily reflexive.
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© 1995 Springer-Verlag Berlin Heidelberg
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Thibault, L. (1995). A Generalized Sequential Formula for Subdifferentials of Sums of Convex Functions Defined on Banach Spaces. In: Durier, R., Michelot, C. (eds) Recent Developments in Optimization. Lecture Notes in Economics and Mathematical Systems, vol 429. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46823-0_25
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DOI: https://doi.org/10.1007/978-3-642-46823-0_25
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