Fixed points for discontinuous quasi-monotone maps in rn
Abstract
Let Kbe the unit cube in Rn an;… (/i, /a/): Kn -* Rn. It is known tha;…as maximal and minimal fixed points in Kn if /: Kn Kn an;…s monotone increasing. In this paper;…eaker condition, namely quasi-monotonicity, is considered and it is proved that the above mentioned conclusion is still true i;…s either quasi-monotone. © 1988 American Mathematical Society.
Department(s)
Mathematics
Document Type
Article
DOI
https://doi.org/10.1090/S0002-9939-1988-0937846-1
Keywords
Dini derivatives, Quasi-monotone and discontinuous maps and fixed points
Publication Date
12-1-1988
Recommended Citation
Hu, Shouchuan. "Fixed points for discontinuous quasi-monotone maps in ��ⁿ." Proceedings of the American Mathematical Society 104, no. 4 (1988): 1111-1114.
Journal Title
Proceedings of the American Mathematical Society