Some fixed point theorems for tree-like continua.

We show that certain tree-like continua, that can be realized as inverse limits on [ 0 , 1 ] with set-valued bonding functions, must have the fixed point property. In this class of tree-like continua, one result involves inverse limits for which the bonding functions are interval-valued and their graphs are trees, and another result involves inverse limits whose partial graphs are dendrites. [ABSTRACT FROM AUTHOR]