Preprint A707/2011
Projections onto convex sets on the sphere
Sandor NĂ©meth | Ferreira, Orizon | Iusem, Alfredo
Keywords: sphere | pointed onvex cone | convex set on the sphere | projection onto a convex set
In this paper some concepts of convex analysis are extended in an intrinsic way from the Euclidean space to the sphere. In particular. relations between convex sets in the sphere and pointed convex cones are presented. Several characterizations of the projection onto an Euclidean convex set are extended to the sphere, and an extension of Moreau's theorem on projections onto a pointed convex cone is exhibited.