Convex Cones, Minimality Notions, and Consequences

  • J. M. Borwein
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 294)

Abstract

Most problems to which functional analysis applies can be modelled by
$$h(b)={{\min }_{s}}\{f(x):g(x){{s}_{p}}b\}$$
(VP)
where X. Y. Z are vector spaces. S and P are appropriate closed convex cones. and f:X→Y,S and g:X→Z,P are convex, Lipschitz, differentiable or otherwise. [y ≤p b means b − y ∈ P]

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Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • J. M. Borwein
    • 1
  1. 1.Dalhousie UniversityHalifax, Nova ScotiaCanada

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