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Constraint Aggregation in Infinite-Dimensional Spaces and Applications


  • A.V. Kryazhimskii
  • A. Ruszczynski


An aggregation technique for constraints with values in Hilbert spaces is suggested. The technique allows to replace the original optimization problem by a sequence of subproblems having scalar or finite-dimensional constraints. Application to optimal control, games and stochastic programming are discussed in detail.

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  • A.V. Kryazhimskii & A. Ruszczynski, 1997. "Constraint Aggregation in Infinite-Dimensional Spaces and Applications," Working Papers ir97051, International Institute for Applied Systems Analysis.
  • Handle: RePEc:wop:iasawp:ir97051

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    1. Y.M. Ermoliev & A.V. Kryazhimskii & A. Ruszczynski, 1995. "Constraint Aggregation Principle in Convex Optimization," Working Papers wp95015, International Institute for Applied Systems Analysis.
    2. Rockafellar, R. T. & Wets, R. J. -B., 1975. "Stochastic convex programming: Kuhn-Tucker conditions," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 349-370, December.
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