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 August 25 to August 30 2014, prof. Dariusz Bugajewski, dr. Daria Bugajewska and dr. Piotr Kasprzak participated in the *Między teorią a zastosowaniami – matematyka w działaniu* conference, Będlewo, Poland.

Prof. Dariusz Bugajewski delivered a talk entitled *Functions of bounded variation and their applications*.

Dr. Daria Bugajewska delivered a talk entitled *On some generalizations of variation in the sense of Jordan*.

Dr. Piotr Kasprzak delivered a talk entitled *Some physical applications of functions of bounded variation*.

From July 23 to July 26, 2014, Dariusz Bugajewski participated at the 29th Summer Conference on Topology and its Appliations, College of Staten Island, City University of New York, USA. He delivered a talk entitled *On formal power series and formal Laurent series*.

From July 27 to July 31, 2014, Dariusz Bugajewski visited Morgan State University, Baltimore, USA, where he did research and delivered a lecture *Nonlinear operators in the spaces of functions of bounded variation in the sense of Jordan*.

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*.