W-convexity on the Isbell-convex hull of an asymmetrically normed real vector space
Filomat, Tome 37 (2023) no. 6, p. 1975
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
Künzi and Yilzid introduced the concept of convexity structures in the sense of Takahashi in quasi-pseudometric spaces [7]. In this article, we continue the study of this theory, introducing the concept of W-convexity for real-valued pair of functions defined on an asymmetrically normed real vector space. Moreover, we show that all minimal pairs of functions defined on an asymmetrically normed real vector space equipped with a convex structure which is W-convex whenever W is translation-invariant.
Olivier Olela Otafudu; Mcedisi Sphiwe Zweni. W-convexity on the Isbell-convex hull of an asymmetrically normed real vector space. Filomat, Tome 37 (2023) no. 6, p. 1975 . doi: 10.2298/FIL2306975O
@article{10_2298_FIL2306975O,
author = {Olivier Olela Otafudu and Mcedisi Sphiwe Zweni},
title = {W-convexity on the {Isbell-convex} hull of an asymmetrically normed real vector space},
journal = {Filomat},
pages = {1975 },
year = {2023},
volume = {37},
number = {6},
doi = {10.2298/FIL2306975O},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2306975O/}
}
TY - JOUR AU - Olivier Olela Otafudu AU - Mcedisi Sphiwe Zweni TI - W-convexity on the Isbell-convex hull of an asymmetrically normed real vector space JO - Filomat PY - 2023 SP - 1975 VL - 37 IS - 6 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2306975O/ DO - 10.2298/FIL2306975O LA - en ID - 10_2298_FIL2306975O ER -
%0 Journal Article %A Olivier Olela Otafudu %A Mcedisi Sphiwe Zweni %T W-convexity on the Isbell-convex hull of an asymmetrically normed real vector space %J Filomat %D 2023 %P 1975 %V 37 %N 6 %U http://geodesic.mathdoc.fr/articles/10.2298/FIL2306975O/ %R 10.2298/FIL2306975O %G en %F 10_2298_FIL2306975O
Cité par Sources :