Compact Subdifferentials in Banach Cones |
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| Authors: | Igor’ V Orlov Zarema I Khalilova |
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| Institution: | 1. V. I. Vernadskii Tavricheskii National University, 4, Vernadskii Prosp., Simferopol, 95007, Ukraine
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| Abstract: | We construct, in general terms, the theory of first-order compact subdifferentials for mappings acting in Banach cones. The basic properties of K-subdifferentials up to the mean-value theorem and its nontrivial corollaries are studied. An application to variational functionals with nonsmooth integrand is considered. |
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