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Common fixed point theorems for a family of non-self mappings in convex metric spaces

✍ Scribed by Ljubomir Ćirić

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
513 KB
Volume
71
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, new contraction type non-self mappings in a metric space are introduced, and conditions guaranteeing the existence of a common fixed-point for such non-self contractions in a convex metric space are established. These results generalize and improve the recent results of Imdad and Khan [M. Imdad, L. Khan, Some common fixed point theorems for a family of mappings in metrically convex spaces, Nonlinear Anal. Theory 67 (9) (2007) 2717-2726] and several others.

📜 SIMILAR VOLUMES

Common fixed point theorems for non-self
Common fixed point theorems for non-self-mappings in metric spaces of hyperbolic type
✍ Ljubomir Ćirić; Vladimir Rakočević; Stojan Radenović; Miloje Rajović; Rade Lazov 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 544 KB

## a b s t r a c t In this paper, the concept of a pair of non-linear contraction type mappings in a metric space of hyperbolic type is introduced and the conditions guaranteeing the existence of a common fixed point for such non-linear contractions are established. Presented results generalize and