2 papers
math.OC2024
Image Space Analysis to the generalized optimization problem on a local sphere
Li-wen Zhou, Min Tang, Ya-ling Yi +1
This paper introduces and studies the generalized optimization problem (for short, GOP) defined by the conic order relation on a local sphere. The existence of solution to this pro…
math.OC2024
On the supporting quasi-hyperplane and separation theorem of geodesic convex sets with applications on Riemannian manifolds
Li-wen Zhou, Ling-ling Liu, Chao Min +2
In this paper, we first establish the separation theorem between a point and a locally geodesic convex set and then prove the existence of a supporting quasi-hyperplane at any poin…