Abstract
This article extends the notion of isotone projection cones to generalized isotone projection cones by replacing the usual metric projection with a generalized one. It is shown that all such cones are simplicial.
Acknowledgements
The authors express their gratitude to the referee for the many helpful comments which led to a substantially improved version of this article. This work was done while Ferreira was visiting Németh at the School of Mathematics in The University of Birmingham, during the period of January 2010 to July 2010. Ferreira was supported in part by FUNAPE/UFG, CNPq Grants 201112/2009-4, 475647/2006-8 and PRONEX–Optimization(FAPERJ/CNPq). Németh was supported in part by the Hungarian Research Grant OTKA 60480.