Abstract:
The advanced theory of the first and higher symmetric Fréchet differentials and K-subdifferentials is constructed including the mean value theorem and the Taylor formula. We give simple sufficient conditions for symmetric K-subdifferentiability and consider some applications to Fourier series and variational functionals.
Citation:
I. V. Orlov, I. V. Baran, “Introduction to sublinear analysis – 2: symmetric case”, Proceedings of the Crimean autumn mathematical school-symposium, CMFD, 57, PFUR, M., 2015, 108–161; Journal of Mathematical Sciences, 225:2 (2017), 265–321
This publication is cited in the following 1 articles:
I. Baran, I. Orlov, “Adjoint extremal problem for non-smooth functionals”, 2017 Constructive Nonsmooth Analysis and Related Topics, CNSA 2017, Dedicated to the Memory of V.F. Demyanov, ed. L. Polyakova, IEEE, 2017, 23–26