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A Generalisation of Contraction Principle in Metric Spaces

Fixed Point Theory and Applications volume 2008, Article number: 406368 (2008) Cite this article

Abstract

Here we introduce a generalisation of the Banach contraction mapping principle. We show that the result extends two existing generalisations of the same principle. We support our result by an example.

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Authors and Affiliations

  1. Department of Mathematics, Government College of Engineering and Ceramic Technology, 73 A.C. Banerjee Lane, Kolkata, West Bengal, 700010, India

    P. N. Dutta

  2. Department of Mathematics, Bengal Engineering and Science University, P.O. Botanical Garden, Shibpur, Howrah, West Bengal, 711103, India

    Binayak S. Choudhury

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  1. P. N. Dutta
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  2. Binayak S. Choudhury
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Correspondence to P. N. Dutta.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Dutta, P.N., Choudhury, B.S. A Generalisation of Contraction Principle in Metric Spaces. Fixed Point Theory Appl 2008, 406368 (2008). https://doi.org/10.1155/2008/406368

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  • DOI: https://doi.org/10.1155/2008/406368

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