Hostname: page-component-76fb5796d-x4r87 Total loading time: 0 Render date: 2024-04-25T14:07:31.728Z Has data issue: false hasContentIssue false
  • English
  • Français

OMEGA LIMIT SETS IN POSITIVE CONES

Published online by Cambridge University Press:  23 December 2003

YONG-ZHUO CHEN
YONG-ZHUO CHEN
Affiliation:
Department of Mathematics, Computer Science and Engineering, University of Pittsburgh at Bradford, Bradford, PA 16701 USAyong@pitt.edu
Get access

Abstract

The omega limit sets of a nonlinear operator $T$ which is defined on a positive cone and satisfies certain ray-contractive type conditions are discussed. Under the assumption that the restriction of $T$ to a compact subset is surjective, the following alternatives are proved: the omega limit set of a point in the cone either consists of a fixed point or forms a 2-cycle. In addition, new proofs and extensions to relevant results are given.

Keywords

47H0747H09
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 1 , January 2004 , pp. 72 - 80
Copyright
© The London Mathematical Society 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)