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Nonlinear programming in locally convex spaces

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Abstract

Farkas' lemma is generalized both to nonlinear functions and to infinite-dimensional spaces; the version for linear maps is less restricted than Hurwicz's result. A generalization of F. John's necessary condition for constrained minima is deduced for infinite dimension and cone constraints. Some theorems on converse and symmetric duality in nonlinear programming are obtained, which extend the known results, even in the finite-dimensional case.

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Authors and Affiliations

  1. Department of Mathematics, University of Melbourne, Melbourne, Australia

    B. D. Craven (Reader)

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  1. B. D. Craven
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Communicated by P. P. Varayia

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Craven, B.D. Nonlinear programming in locally convex spaces. J Optim Theory Appl 10, 197–210 (1972). https://doi.org/10.1007/BF00934807

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