Geodesic
On optimality for Mayer type problem governed by a discrete inclusion system with Lipschitzian set-valued mappings
Filomat, Tome 35 (2021) no. 7, p. 2333

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DOI

Set-valued optimization which is an extension of vector optimization to set-valued problems is a growing branch of applied mathematics. The application of vector optimization technics to set-valued problems and the investigation of optimality conditions has been of enormous interest in the research of optimization problems. In this paper we have considered a Mayer type problem governed by a discrete inclusion system with Lipschitzian set-valued mappings. A necessary condition for K-optimal solutions of the problem is given via local approximations which is considered the lower and upper tangent cones of a set and the lower derivative of the set-valued mappings
DOI : 10.2298/FIL2107333D
Classification : 90C46, 58C06
Keywords: Discrete inclusions, set-valued mappings, necessary conditions, vector optimization 
Özkan Değer. On optimality for Mayer type problem governed by a discrete inclusion system with Lipschitzian set-valued mappings. Filomat, Tome 35 (2021) no. 7, p. 2333 . doi: 10.2298/FIL2107333D
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     author = {\"Ozkan De\u{g}er},
     title = {On optimality for {Mayer} type problem governed by a discrete inclusion system with {Lipschitzian} set-valued mappings},
     journal = {Filomat},
     pages = {2333 },
     year = {2021},
     volume = {35},
     number = {7},
     doi = {10.2298/FIL2107333D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2107333D/}
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