Welcome to the home page of the **Optimization and Control Theory Department** of the Faculty of Mathematics and Computer Science of the Adam Mickiewicz University in Poznań.

The staff of the Department conduct research in selected problems of two domains: convex and nonlinear analysis. In particular, algebraic, analytic, geometrical and topological properties of **pairs of closed convex sets** are investigated, among others:

- translation property,
- shadowing of sets,
- Sallee sets,
- minimal pairs,
- Minkowski-Radström-Hörmander space with applications, and
- quasidifferential calculus

are recurrent topics.

Another direction of research is **nonlinear analysis**. Among the topics discussed are:

- differential and integral equations (in particular, Hammerstein, Volterra and fractional order equations; existence and uniqueness of solutions in various classes of functions, like almost periodic functions of different types or functions of bounded variation, also of different types; topological properties of solution sets, in particular Aronszajn type theorems);
- single- and multivalued fixed point theorems;
- selected topics between analysis and general topology (among others, hyperconvex spaces, R-trees, measures of noncompactness);
- some problems from operator theory (in particular, the superposition operator).

From 7 to 13 July 2014 dr Daria Bugajewska and mgr Adam Nawrocki took part in the XXXVIII. Summer Symposium in Real Analysis, Prague, Czech Republic.

Dr Daria Bugajewska delivered a lecture entitled *On lower bounded -variation and its applications*.

Mgr Adam Nawrocki delivered a lecture entitled *On some classes of generalized almost periodic functions*.

From 7 to 11 July 2014 dr Piotr Kasprzak took part in The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Madrid, Spain.

Dr Piotr Kasprzak delivered a lecture entitled *On certain classes of (not necessarily bounded) almost periodic functions with applications.*

From 2.06.2014 to 3.06.2014 prof. UAM dr hab. Dariusz Bugajewski, dr Piotr Kasprzak and mgr Adam Nawrocki visited Faculty of Mathematics and Computer Science Nicolaus Copernicus University in Toruń

Mgr Adam Nawrocki delivered a lecture entitled *On the asymptotic behaviour of certain functions almost periodic in the Lebesgue measure*.

Dr Piotr Kasprzak delivered a lecture entitled *On functions of bounded variation*.