Annales Mathematicae Silesianae. T. 23 (2009)

Contents Annual lectures dedicated to the memory of Professor Andrzej Lasota (Roman Ger) 7 Professor Andrzej Lasota (1932–2006) (Ryszard Rudnicki) 9 MICHAEL C. MACKEY: Exploring the World with Mathematics 11 MOHAMED AKKOUCHI: Well-posedness of the fixed point problem for certain asymptotically regular mappings 43 ELIZA JABŁOŃSKA: Jensen convex functions bounded above on nonzero Christensen measurable sets 53 ZYGFRYD KOMINEK: On a Jensen–Hosszú equation I 57 JAN LIGĘZA: Existence of positive periodic solutions of some differential equations of order n (n _ 2) 61 ADAM WORYNA: The group of balanced automorphisms of a spherically homogeneous rooted tree 83 Report of Meeting. The Ninth Katowice–Debrecen Winter Seminar on Functional Equations and Inequalities, Będlewo (Poland), February 4–7, 2009 103