Geodesic
Radon's and Helly's theorems for Bˉ¹ −convex sets
Filomat, Tome 35 (2021) no. 3, p. 731

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DOI

Helly's, Radon's, and Caratheodory's theorems are the basic theorems of convex analysis and have an important place. These theorems have been studied by different authors for different classes of convexity. Caratheodory's theorem for Bˉ¹ −convex sets has been proved before by Adilov and Yeşilce. In this article, Helly's and Radon's theorems are discussed and examined for these sets
DOI : 10.2298/FIL2103731K
Classification : 52A20, 52A35, 52A05;24A51
Keywords: Radon’s theorem, Helly’s theorem, Caratheodory’s theorem, Bˉ¹-convex sets, Abstract convexity 
Serap Kemali; Ilknur Yesilce; Gabil Adilov. Radon's and Helly's theorems for Bˉ¹ −convex sets. Filomat, Tome 35 (2021) no. 3, p. 731 . doi: 10.2298/FIL2103731K
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     author = {Serap Kemali and Ilknur Yesilce and Gabil Adilov},
     title = {Radon's and {Helly's} theorems for {Bˉ{\textonesuperior}} \ensuremath{-}convex sets},
     journal = {Filomat},
     pages = {731 },
     year = {2021},
     volume = {35},
     number = {3},
     doi = {10.2298/FIL2103731K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2103731K/}
}
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