Gateaux Differentiability Revisited

نویسندگان

چکیده

We revisit some basic concepts and ideas of the classical differential calculus convex analysis extending them to a broader frame. reformulate generalize notion Gateaux differentiability propose new notions generalized derivative subdifferential in an arbitrary topological vector space. Meaningful examples preserving key properties original are provided.

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ژورنال

عنوان ژورنال: Applied Mathematics and Optimization

سال: 2021

ISSN: ['0095-4616', '1432-0606']

DOI: https://doi.org/10.1007/s00245-021-09754-y