Abstract
This paper is devoted to the problem of characterizing the class \( \cal S \) of the stationary sets for J-convex functions \( \Delta \to {\Bbb R} \), where \( \Delta \) is a convex open subset of \( {\Bbb R}^n \). We prove, among others, that a set T belongs to the class \( \cal S \) if and only if T satisfies two conditions: the closure of the convex hull of T in the relative topology is the whole set \( \Delta \), and each J-convex function bounded above on T is continuous.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.