Nonlinear operators. Compact operators and applications to the existence of solutions to integral equations. Monotone operators. Basic properties. Nemitsky operators. Brower and Shaudar fixed point theorems. Applications. The Ekeland variational principle. Differentiability in Banach spaces. Gateaux and Frechet derivatives. Critical point theory. Applications.
- Teacher: Νικόλαος Παπαγεωργίου
ECTS : 5
Language : el