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Common fixed point theorems for families of weakly compatible maps

✍ Scribed by Ljubomir Ćirić; A. Razani; Stojan Radenović; J.S. Ume

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
246 KB
Volume
55
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper the existence and approximation of a unique common fixed point of two families of weakly compatible self-maps on a complete metric space are investigated. An example is presented to show that our results for the mappings considered satisfying non-linear contractive type conditions are genuine generalizations of the recent result for metric spaces [B. Singh, S. Jain, A fixed point theorem in Menger space through weak compatibility, J. Math. Anal. Appl. 301 (2005) 439-448, Theorem 3.3] and many other known results.

📜 SIMILAR VOLUMES

Common fixed point theorems for occasion
Common fixed point theorems for occasionally weakly compatible mappings under relaxed conditions
✍ Arvind Bhatt; Harish Chandra; D.R. Sahu 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 280 KB

In this paper, we obtain some common fixed point theorems for occasionally weakly compatible mappings on a set X together with the function d : X × X → [0, ∞) without using the triangle inequality and assuming symmetry only on the set of points of coincidence.