𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On paracompactness in cone metric spaces

✍ Scribed by Ayşe Sönmez

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
333 KB
Volume
23
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis

It is well known that any metric space is paracompact. As a generalization of metric spaces, cone metric spaces play very important role in fixed point theory, computer science, and some other research areas as well as in general topology. In this paper, a theorem which states that any cone metric space with a normal cone is paracompact is proved.

📜 SIMILAR VOLUMES

On cone metric spaces: A survey
On cone metric spaces: A survey
✍ Slobodanka Janković; Zoran Kadelburg; Stojan Radenović 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 296 KB

Using an old M. Krein's result and a result concerning symmetric spaces from [S. Radenović, Z. Kadelburg, Quasi-contractions on symmetric and cone symmetric spaces, Banach J. Math. Anal. 5 (1) (2011), 38-50], we show in a very short way that all fixed point results in cone metric spaces obtained rec

On nonlinear quasi-contractions on TVS-c
On nonlinear quasi-contractions on TVS-cone metric spaces
✍ Ivan D. Aranđelović; Dragoljub J. Kečkić 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 221 KB

In this paper we present fixed point theorem for nonlinear quasi-contractive mappings defined on TVS-cone metric space, which generalizes earlier results obtained by Ilić and Rakočević [D.

Quasi-contraction on a cone metric space
Quasi-contraction on a cone metric space
✍ Dejan Ilić; Vladimir Rakočević 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 317 KB

In this work we define and study quasi-contraction on a cone metric space. For such a mapping we prove a fixed point theorem. Among other things, we generalize a recent result of H. L. Guang and Z. Xian, and the main result of Ćirić is also recovered.