u-mappings on trees
D. Bellamy has shown that there exist tree-like continua which do not have the fixed point property. We give sufficient conditions for a tree- like continuum to have the fixed point property. In order to establish this result, we define u-mappings on trees and show that each u-mapping is universal. Our results generalize similar theorems of \textit{C. A. Eberhart} and \textit{J. B. Fugate} in General Topology and Modern Analysis, Proc. Conf. 1980, 209-215 (1981; Zbl 0475.54022).
scientific article; zbMATH DE number 3935948