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Fundamentalnaya i Prikladnaya Matematika, 2014, Volume 19, Issue 4, Pages 121–152
(Mi fpm1600)
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This article is cited in 3 scientific papers (total in 3 papers)
On necessary conditions for a minimum
A. D. Ioffe Technion — Israel Institute of Technology
Abstract:
We discuss a general approach to necessary optimality conditions based on so called “optimality alternative” that reduces a problem with constraints to one or a sequence unconstrained problems. The power of the approach is demonstrated by proofs of a necessary optimality condition in an abstract problem with mixed (convex vs. nonconvex) structure and a new proof of Clarke's “stratified” maximum principle for optimal control of differential inclusions.
Citation:
A. D. Ioffe, “On necessary conditions for a minimum”, Fundam. Prikl. Mat., 19:4 (2014), 121–152; J. Math. Sci., 217:6 (2016), 751–772
Linking options:
https://www.mathnet.ru/eng/fpm1600 https://www.mathnet.ru/eng/fpm/v19/i4/p121
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Abstract page: | 687 | Full-text PDF : | 318 | References: | 81 |
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