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Necessary Conditions for Constrained Optimization Problems in Smooth Banach Spaces and Applications

Zhu, Qiji J. (2001) Necessary Conditions for Constrained Optimization Problems in Smooth Banach Spaces and Applications. [Preprint]

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      Abstract

      We derive necessary optimality conditions for constrained minimization problems with lower semicontinuous inequality constraints, continuous equality constraints and a set constraint in smooth Banach spaces. Then we apply these necessary optimality conditions to derive subdifferential characterizations of singular normal vectors to the epigraph and the graph of a function, subdifferential calculus, and necessary optimality conditions for mathematical programs with equilibrium constraints.

      Item Type: Preprint
      Additional Information: pubdom FALSE
      Uncontrolled Keywords: constrained optimization problem, necessary optimality condition, singular normal vector, smooth subdifferential, subdifferential calculus, mathematical programs with equilibrium constraints
      Subjects: 90-xx Economics, operations research, programming, games > 90Cxx Mathematical programming
      49-xx Calculus of variations and optimal control; optimization > 49Jxx Existence theories
      49-xx Calculus of variations and optimal control; optimization > 49Kxx Necessary conditions and sufficient conditions for optimality
      Faculty: UNSPECIFIED
      Depositing User: Users 1 not found.
      Date Deposited: 24 Nov 2003
      Last Modified: 21 Apr 2010 11:13
      URI: https://docserver.carma.newcastle.edu.au/id/eprint/137

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