Tangent sets of order one and two to the positive cones of some functional spaces

Cominetti R.; Penot J.-P.

Keywords: differentiation, optimization, sets, set, theory, optimality, tangent, conditions, Functions, (calculus)

Abstract

We compute the tangent cone and the tangent set of order two to the positive cone of some important functional spaces such as the space C(K) of continuous functions on a compact space and the space LP(Q) of p-integrable functions on a measured space. The results are applied to the calculus of derivatives of order one and two of marginal functions. © 1997 Springer-Verlag New York Inc.

Más información

Título de la Revista: APPLIED MATHEMATICS AND OPTIMIZATION
Volumen: 36
Número: 3
Editorial: Springer
Fecha de publicación: 1997
Página de inicio: 291
Página final: 312
URL: http://www.scopus.com/inward/record.url?eid=2-s2.0-0031281748&partnerID=q2rCbXpz