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 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*.

On 16.05.2014 prof. UAM dr hab. Dariusz Bugajewski took part in the conference *Mini Corsi di Analisi Variazionale* organized by Mediterranea University of Reggio Calabria.

On the same day, dr Piotr Kasprzak visited Institute of Mathematics Polish Academy of Sciences, where he delivered a lecture entitled *On functions of bounded variation*.

From 10.05.2014 to 17.05.2014, prof. UAM dr hab. Dariusz Bugajewski visited University of Calabria, Cosenza, Italy, where he delivered a mini-course for students entitled *On a certain method of solving systems of linear differential equations with constant coefficients*, conducted research and gave a lecture entitled *Nonlinear operators in the spaces of functions of bounded variation in the sense of Jordan*. The visit was financed under the Erasmus programme.