Lagrangian multipliers for generalized affine and generalized convex vector optimization problems of set-valued maps

• Autorzy: Zeng Renying

Identyfikatory

DOI

10.1515/jaa-2020-2042

• Języki publikacji: EN

Abstrakty

EN

In this paper, we introduce some definitions of generalized affine set-valued maps: affinelike, preaffinelike, nearaffinelike, and prenearaffinelike maps. We present examples to explain that our definitions of generalized affine maps are different from each other. We derive a theorem of alternative of Farkas-Minkowski type, discuss Lagrangian multipliers for constrained set-valued optimization problems, and obtain some optimality conditions for weakly efficient solutions.

Słowa kluczowe

EN

real topological spaces; generalized affine set-valued maps; generalized convex set-valued maps; theorem of alternative; Lagrangian multipliers

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2021
• Tom: Vol. 27, nr 2
• Strony: 163--173
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Zeng Renying

• Mathematics Department, Saskatchewan Polytechnic, 1130 Idylwyld Dr. N, Saskatoon, SK, S7L 4J7, Canada

• https://orcid.org/0000-0001-9073-9981

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021)