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Constrained extremum problems with infinite dimensional image. Selection and saddle point

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Abstract

The paper deals with Image Space Analysis for constrained extremum problems having infinite dimensional image. It is shown that the introduction of selection for point- to-set maps and of quasi-multipliers allows one to establish sufficient optimality conditions for problems, where the classic ones fail.

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References

  1. (1967). Nonlinear Programming. North-Holland, Amsterdam

    Google Scholar 

  2. Giannessi, F.: Constrained Optimization and Image Space Analysis, vol. 1. Separation of sets and Optimality Conditions. Springer (2005)

  3. Giannessi, F., Mastroeni, G., Uderzo, A.: A multifunction approach to extremum problems having infinite dimensional image: necessary conditions for unilateral constraints, pp. 39–51. Cybernetics and System Analysis, No. 3, Plenum (2002)

  4. Hestenes M.R. (1966). Calculus of Variations and Optimal Control Theory. Wiley, New York

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  5. Madani, K., Mastroeni, G., Moldovan, A.: Constrained Extremum Problems with Infinite dimensional Image. Selection and Necessary Conditions. J. Optimiz. Theory App. 1 (135) N.1. (2007)

  6. Pars L.A. (1962). An Introduction to the Calculus of Variations. Heinemann, London

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Oran, Bp 1523 El Menouar, Oran, Algeria

    K. Madani

  2. Department of Mathematics, University of Pisa, Largo B. Pontecorvo 5, Pisa, 56127, Italy

    G. Mastroeni & A. Moldovan

Authors
  1. K. Madani
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  2. G. Mastroeni
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  3. A. Moldovan
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Correspondence to G. Mastroeni.

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Madani, K., Mastroeni, G. & Moldovan, A. Constrained extremum problems with infinite dimensional image. Selection and saddle point. J Glob Optim 40, 197–208 (2008). https://doi.org/10.1007/s10898-007-9187-4

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  • DOI: https://doi.org/10.1007/s10898-007-9187-4

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