Convexity structures in T-0-quasi-metric spaces
TOPOLOGY AND ITS APPLICATIONS, cilt.200, ss.2-18, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 200
- Basım Tarihi: 2016
- Doi Numarası: 10.1016/j.topol.2015.12.009
- Dergi Adı: TOPOLOGY AND ITS APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.2-18
- Hacettepe Üniversitesi Adresli: Evet
Özet
The authors define and investigate convexity structures in the sense of Takahashi in T-0-quasi-metric spaces. They prove that numerous important results about convexity structures in metric spaces can be generalized to the quasi-metric setting. They also show that the latter convexity structures naturally occur in asymmetrically normed real vector spaces and in q-hyperconvex T-0-quasi-metric spaces. In the T-0-quasi-metric setting they explore various interesting additional conditions that convexity structures in the sense of Takahashi can satisfy. (C) 2015 Elsevier B.V. All rights reserved.