Mathematical Programming

, Volume 21, Issue 1, pp 301–318 | Cite as

Direct theorems in semi-infinite convex programming

  • J. M. Borwein
Article

Abstract

We show that a semi-infinite quasi-convex program with certain regularity conditions possesses finitely constrained subprograms with the same optimal value. This result is applied to various problems.

Key words

Semi-infinite Programs Open Helly-type Theorems Finite Subprograms Convex Programs Multi-criteria Programs Quasi-convex Programs Quasi-differentiable Programs 

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Copyright information

© The Mathematical Programming Society 1981

Authors and Affiliations

  • J. M. Borwein
    • 1
  1. 1.Mathematics DepartmentDalhousie UniversityHalifaxCanada
  2. 2.Mathematics DepartmentCarnegie-Mellon UniversityPittsburghUSA

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