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).
Seminars
News
2012-04-10 News
From 10.04.2012 to 18.04.2012 prof. UAM dr hab. Dariusz Bugajewski visited Morgan State University in Baltimore, USA, where he delivered a lecture entitled "On Lovelady and Leggett-Williams type fixed-point theorems with applications to nonlinear equations" and conducted research in collaboration with Dr. Xiao-Xiong Gan.
2011-10-03 News
From 3.11.2011 to 20.11.2011 prof. dr hab. Ryszard Urbański visited University of Massachusetts, Lowell, USA, where he conducted research and delivered two lectures:
- Vector spaces of convex sets. Representation of its elements and application to crystal growth description;
- Minkowski addition and subtraction. Problem of minimal representation in quasidifferential calculus.
2011-09-07 News
Prof. UAM dr hab. Dariusz Bugajewski, dr Marcin Borkowski and mgr Piotr Kasprzak took part in 6th Symposium on Nonlinear Analysis, 7-9 September, Toruń, Poland.
Prof. UAM dr hab. Dariusz Bugajewski (in collaboration with mgr Piotr Kasprzak) delivered a short talk entitled Nonlinear integral equations in spaces of functions of bounded variation. The method of mappings of higher order.
Dr Marcin Borkowski (in collaboration with Marcin Wachowiak) delivered a short talk entitled On a Leray-Schauder type theorem.