On a Class of Functionals Whose Local Minima are Global |
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Authors: | Gabriele Bonanno |
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Institution: | (1) Dipartimento di Ingegneria Elettronica e Matematica Applicata, Università di Reggio Calabria, via E. Cuzzocrea 48, 89128 Reggio Calabria, Italy |
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Abstract: | In this note we introduce a suitable class of functionals, including the class of integral functionals, and prove that any (strict) local minimum of a functional of this class, defined on a decomposable space, is a (strict) global minimum. So, the recent result obtained by Giner in 1] is specified and extended. |
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Keywords: | Increasing functional integral functional global optimization |
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