Title

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

Journal Title

Proceedings of the American Mathematical Society

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