TY - JOUR
AU - Andres, Jan
AU - Pastor, Karel
AU - Snyrychov´a, Pavla
PY - 2008/12/01
Y2 - 2022/05/21
TI - Simple Fixed Point Theorems on Linear Continua
JF - CUBO, A Mathematical Journal
JA - CUBO
VL - 10
IS - 4
SE - Articles
DO -
UR - https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1486
SP - 27–43
AB - A simple fixed point theorem is formulated for multivalued maps with a connected graph on closed intervals of linear continua. These intervals either cover themselves or are concerned with self-maps. We discuss a question when the original map can possess a fixed point, provided the same assumptions are satisfied only for some of its iterate. We are particularly interested in a situation on noncompact connected linearly ordered spaces. Many illustrating examples are supplied.
ER -