Projections onto convex sets on the sphere

O. Ferreira (), A. Iusem () and S. Németh ()

Journal of Global Optimization, 2013, vol. 57, issue 3, 663-676

Abstract: 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 usual projection onto a Euclidean convex set are extended to the sphere and an extension of Moreau’s theorem for projection onto a pointed convex cone is exhibited. Copyright Springer Science+Business Media, LLC. 2013

Keywords: Sphere; Pointed convex cone; Convex set in the sphere; Projection onto a pointed convex cone (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10898-012-9914-3

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