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On the image of a constrained extremum problem and some applications to the existence of a minimum

Abstract

A new approach to constrained optimization, which has appeared recently under various forms and in several contexts, is presented in a general and unifying setting. This approach is then employed to establish some new conditions for the existence of the minimum of a constrained minimum problem.

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Communicated by R. Conti

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Tardella, F. On the image of a constrained extremum problem and some applications to the existence of a minimum. J Optim Theory Appl 60, 93–104 (1989). https://doi.org/10.1007/BF00938802

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Key Words

  • Image problems
  • constrained optimization
  • existence of a minimum