$T$-differentiable functionals and ther critical points

• Date: 1994
• Main Authors: Mel'nik, V. S., Мельник, В. С.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1994
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5699
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The critical points of the functionals $F:\; D \subset X \rightarrow \mathbb{R}$ defined on "nonlinear" sets $D$ in the topological vector spaces $X$ are studied. A construction of a $T$-derivative is suggested for these functionals and compared with to known constructions. The c...