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Refinements of necessary conditions for optimality in nonlinear programming

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Abstract

In this paper, a new set of necessary conditions for optimality is introduced with reference to the differentiable nonlinear programming problem. It is shown that these necessary conditions are sharper than the usual Fritz John ones. A constraint qualification relevant to the new necessary conditions is defined and extensions to the locally Lipschitz case are presented.

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Communicated by G. Di Pillo

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Facchinei, F. Refinements of necessary conditions for optimality in nonlinear programming. J Optim Theory Appl 73, 65–74 (1992). https://doi.org/10.1007/BF00940078

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