𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Common fixed point theorems for non-self-mappings in metric spaces of hyperbolic type

✍ Scribed by Ljubomir Ćirić; Vladimir Rakočević; Stojan Radenović; Miloje Rajović; Rade Lazović

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
544 KB
Volume
233
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

✦ Synopsis

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 improve some of the known results. An example is constructed to show that our theorems are genuine generalizations of the main theorems of Assad, Ćirić, Khan et al., Rhoades and Imdad and Kumar. One of the possible applications of our results is also presented.

📜 SIMILAR VOLUMES

Common fixed point theorems for a family
Common fixed point theorems for a family of non-self mappings in convex metric spaces
✍ Ljubomir Ćirić 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 513 KB

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

New common fixed point theorems for maps
New common fixed point theorems for maps on cone metric spaces
✍ Guangxing Song; Xiaoyan Sun; Yian Zhao; Guotao Wang 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 248 KB

In this paper, we study the uniqueness and existence of a common fixed point for a pair of mappings in cone metric space. The results extend and improve recent related results.