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An alternative approach to “fixed point theorems for occasionally weakly compatible mappings”

✍ Scribed by Gopal, Dhananjay; Patel, Deepesh Kumar


Book ID
123462018
Publisher
Elsevier
Year
2014
Weight
362 KB
Volume
22
Category
Article
ISSN
1110-256X

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Common fixed point theorems for occasion
✍ 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.

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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