Convex Cones, Minimality Notions, and Consequences

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


Most problems to which functional analysis applies can be modelled by
$$h(b)={{\min }_{s}}\{f(x):g(x){{s}_{p}}b\}$$
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]


Complementarity Problem Banach Lattice Compact Interval Convex Operator Closed Convex Cone 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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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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