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Applied Mathematics and Optimization

, Volume 22, Issue 1, pp 189–209 | Cite as

Second-order necessary optimality conditions for optimization problems involving set-valued maps

  • Pham Huu Sach
Article

Abstract

Second-order necessary optimality conditions are established under a regularity assumption for a problem of minimizing a functiong over the solution set of an inclusion system 0 ∈F(x), x ∈ M, whereF is a set-valued map between finite-dimensional spaces andM is a given subset. The proof of the main result of the paper is based on the theory of infinite systems of linear inequalities.

Keywords

Optimality Condition System Theory Mathematical Method Linear Inequality Regularity Assumption 
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 New York Inc. 1990

Authors and Affiliations

  • Pham Huu Sach
    • 1
  1. 1.Institute of MathematicsHanoiVietnam

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