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General Duality Principle by Means of Perturbed Problems and Conjugate Functionals

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Nonlinear Functional Analysis and its Applications
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Abstract

In Section 37.10 we observed the following general principle for linear optimization problems in ℝN:

The consistency of (P) and (P*) implies that (P) and (P*) are solvable.

The study of mathematics, like the Nile, begins in minuteness, but ends in magnificence. C. C. Colton (1820)

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Zeidler, E. (1985). General Duality Principle by Means of Perturbed Problems and Conjugate Functionals. In: Nonlinear Functional Analysis and its Applications. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5020-3_17

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  • DOI: https://doi.org/10.1007/978-1-4612-5020-3_17

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-9529-7

  • Online ISBN: 978-1-4612-5020-3

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