Characterizations and classification of paraconvex multimaps

• Autorzy: Mokhtar-Kharroubi Hocine

Identyfikatory

DOI

10.2478/candc-2022-0019

• Języki publikacji: EN

Abstrakty

EN

Paraconvex multimaps are revisited in normed vector space setting. A parallel is provided with the studies conducted for real valued paraconvex functions on generalized convexities and monotonicities. Several characterizations are then obtained. The links with some generalized convexities for multimaps are examined and a first classification is achieved. In addition, two representation results for 2-paraconvex multimaps are given.

Słowa kluczowe

EN

support function; paraconvex multimap; Lipschitz property; generalized convexities; submonotonicity

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2022
• Tom: Vol. 51, No. 3
• Strony: 303--325
• Opis fizyczny: Bibliogr. 32 poz.

Twórcy

autor

Mokhtar-Kharroubi Hocine

• Université Oran I Ahmed Benbella, Département de Mathématiques, BP l524 Elmn’aouer Oran 31000, Algérie

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