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Existence and Uniqueness of Fixed Point in Fuzzy Metric Spaces and its Applications

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Book cover Proceedings of the Second International Conference on Soft Computing for Problem Solving (SocProS 2012), December 28-30, 2012

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 236))

Abstract

The main aim of this paper is to prove some fixed point theorems in fuzzy metric spaces through rational inequality. Our results extend and generalize the results of many other authors existing in the literature. Some applications are also given in support of our results.

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Acknowledgments

The authors would like to express their sincere appreciation to the referees for their helpful suggestions and many kind comment.

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Authors and Affiliations

  1. Department of Mathematics, Maharishi Markandeshwar University, Mullana Ambala, Haryana, 133001, India

    Vishal Gupta & Naveen Mani

Authors
  1. Vishal Gupta
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  2. Naveen Mani
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Corresponding author

Correspondence to Vishal Gupta .

Editor information

Editors and Affiliations

  1. Institute of Engineering and Technology, JK Lakshmipat University, Jaipur, Rajasthan, India

    B. V. Babu

  2. Department of Computer Science, Liverpool Hope University, Liverpool, United Kingdom

    Atulya Nagar

  3. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    Kusum Deep

  4. Department of Paper Technology, Indian Institute of Technology Roorkee, Roorkee, India

    Millie Pant

  5. Department of Applied Mathematics, South Asian University, New Delhi, India

    Jagdish Chand Bansal

  6. Institute of Engineering and Technology, JK Lakshmipat University, Jaipur, Rajasthan, India

    Kanad Ray

  7. Institute of Engineering and Technology, JK Lakshmipat University, Jaipur, Rajasthan, India

    Umesh Gupta

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Gupta, V., Mani, N. (2014). Existence and Uniqueness of Fixed Point in Fuzzy Metric Spaces and its Applications. In: Babu, B., et al. Proceedings of the Second International Conference on Soft Computing for Problem Solving (SocProS 2012), December 28-30, 2012. Advances in Intelligent Systems and Computing, vol 236. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1602-5_24

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  • DOI: https://doi.org/10.1007/978-81-322-1602-5_24

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  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-1601-8

  • Online ISBN: 978-81-322-1602-5

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