𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Quasi-contraction on a cone metric space

✍ Scribed by Dejan Ilić; Vladimir Rakočević


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
317 KB
Volume
22
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis


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.


📜 SIMILAR VOLUMES


On nonlinear quasi-contractions on TVS-c
✍ 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.

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

Fixed points of weak contractions in con
✍ Binayak S. Choudhury; N. Metiya 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 323 KB

Cone metric spaces are generalizations of metric spaces, where the metric is Banach spacevalued. Weak contractions are generalizations of the Banach's contraction mapping, which have been studied by several authors. In the present work, we establish a unique fixed point result for weak contractions

Contraction Type Mappings on a 2-Metric
✍ B. E. Rhoades 📂 Article 📅 1979 🏛 John Wiley and Sons 🌐 English ⚖ 235 KB

The concept of a 2-metric space hw been investigated by 5. G~ELER in a seriea of papers [6]-[S]. Other papers dealing with 2-metric spaces are [3]-[S], [lo], and [ 123. In this note several fixed point theorems a m proved for contractive mappings in a 2-metric space. The contradive definitions used