discipline

Mathematics student IV-V.

subject

Nonlinear functional analysis

lecturers

Tivadar Szilágyi

credits

2

period

 1 semester, 2 hours/week

curriculum

Ekeland Theorem and its applications: nonlinear open mapping theorem. Local and global inverse and implicite function theorems and their applications in the theory of differential equations. Generalizations of the Brouwer Fixed Point Theorem and Kakutani Fixed Point Theorem to infinite dimension, Minimax Theorems, variational inequalities.

literature

K. Deimling: Nonlinear Analysis, Springer, 1985

J. Dugundji, A. Granas: Fixed Point Theory, PWN, Warszawa, 1982

form of tuition

Lectures

mode of assessment

oral exam