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:
are recurrent topics.
Another direction of research is nonlinear analysis. Among the topics discussed are:
Dr Piotr Kasprzak took part in The 10th International Conference on Fixed Point Theory and its Applications, July 9-15, 2012, Cluj-Napoca, Romania. He delivered a short talk entitled On Leggett-Williams type theorems for nonlinear operators defined in cones with applications to nonlinear equations.
Dr Daria Bugajewska and dr Piotr Kasprzak took part in the 6th European Congress of Mathematics, July 2-7, 2012, Kraków, Poland.
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.