Some common coupled fixed point theorems for generalized contraction in \(b\)-metric spaces

Volume 8, Issue 1, pp 8--16 http://dx.doi.org/10.22436/jnsa.008.01.02

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Authors

Nidhi Malhotra - Department of Mathematics, Hindu College, University of Delhi, Delhi, India. Bindu Bansal - Department of Mathematics, Hindu College, University of Delhi, Delhi, India.

Abstract

The aim of this paper is to prove the existence and uniqueness of a common coupled fixed point for a pair of mappings in a complete \(b\)-metric space in view of diverse contractive conditions. In addition, as a bi-product we obtain several new common coupled fixed point theorems.

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Keywords

• Common fixed point
• coupled fixed point
• coupled coincidence point
• contractive mappings
• b-metric spaces.

MSC

•  47H10
•  54H25

References

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