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Vietnam Journal of Mathematics

, Volume 44, Issue 3, pp 623–636 | Cite as

Coupled Meir–Keeler Type Contraction in Metric Spaces with an Application to Partial Metric Spaces

  • Binayak S. Choudhury
  • Chaitali BandyopadhyayEmail author
Article

Abstract

In this paper, we prove a Meir–Keeler type coupled fixed point results in metric spaces. We make an application of our result to obtain a corresponding result in partial metric spaces. The latter are generalizations of metric spaces having a T 0-topology in general and admitting non-zero measures of self distances. It is only under special circumstances that the results obtained in metric spaces can be extended to partial metric spaces. Here, we show that the result we obtain in metric spaces can be applied to obtain similar fixed point result in partial metric spaces. Two illustrative examples are given one each for the metric spaces and partial metric spaces.

Keywords

Coupled fixed point Partial metric space Metric space Coupled generalized Meir–Keeler contraction T0-space 

Mathematics Subject Classification (2010)

47H10 54H25 

Notes

Acknowledgements

The authors express their gratitude to the learned referees for reading this work carefully and providing valuable comments.

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Copyright information

© Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore 2016

Authors and Affiliations

  1. 1.Department of MathematicsIndian Institute of Engineering Science and Technology, ShibpurHowrahIndia

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