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Constrained Extremum Problems with Infinite-Dimensional Image: Selection and Necessary Conditions

Author

Listed:
  • K. Madani

    (University of Oran)

  • G. Mastroeni

    (University of Pisa)

  • A. Moldovan

    (University of Pisa)

Abstract

This paper deals with image space analysis for constrained extremum problems having an infinite-dimensional image. It is shown that the introduction of selection for point-to-set maps and of quasi multipliers allows one to establish optimality conditions for problems where the classical approach fails.

Suggested Citation

  • K. Madani & G. Mastroeni & A. Moldovan, 2007. "Constrained Extremum Problems with Infinite-Dimensional Image: Selection and Necessary Conditions," Journal of Optimization Theory and Applications, Springer, vol. 135(1), pages 37-53, October.
    • Handle: RePEc:spr:joptap:v:135:y:2007:i:1:d:10.1007_s10957-007-9213-1
    DOI: 10.1007/s10957-007-9213-1
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    Cited by:

    1. Shengjie Li & Yangdong Xu & Manxue You & Shengkun Zhu, 2018. "Constrained Extremum Problems and Image Space Analysis–Part I: Optimality Conditions," Journal of Optimization Theory and Applications, Springer, vol. 177(3), pages 609-636, June.
    2. A. Moldovan & L. Pellegrini, 2009. "On Regularity for Constrained Extremum Problems. Part 2: Necessary Optimality Conditions," Journal of Optimization Theory and Applications, Springer, vol. 142(1), pages 165-183, July.
    3. Letizia Pellegrini & Shengkun Zhu, 2018. "Constrained Extremum Problems, Regularity Conditions and Image Space Analysis. Part II: The Vector Finite-Dimensional Case," Journal of Optimization Theory and Applications, Springer, vol. 177(3), pages 788-810, June.

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