On properties of subdifferential mappings in Fréchet spaces
We present conditions under which the subdifferential of a proper convex lower-semicontinuous functional in a Fréchet space is a bounded upper-semicontinuous mapping. The theorem on the boundedness of a subdifferential is also new for Banach spaces. We prove a generalized Weierstrass theorem in Fréchet spaces and study a variational inequality with a set-valued mapping.
English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 10, pp 1621-1634.
Citation Example: Kasyanov P. O., Mel'nik V. S. On properties of subdifferential mappings in Fréchet spaces // Ukr. Mat. Zh. - 2005. - 57, № 10. - pp. 1385–1394.