a1 Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, China
Suppose that the continuous mapping is order-preserving and sublinear. If every positive semi-orbit has compact closure, then every positive semi-orbit converges to a fixed point. This result does not require that the order be strongly preserved.
(Received November 18 1994)
(Revised March 28 1995)
* The research supported by the National Natural Science Foundation of China under grant 19271001.