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The Unique Common Fixed Point Theorem for Four Mappings Satisfying Common Limit in the Range Property in b-Metric Space

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Mathematical Analysis I: Approximation Theory (ICRAPAM 2018)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 306))

Abstract

In the present paper a unique common fixed point theorem has been established in b-metric space for four weakly compatible mappings in pairs, satisfying common limit range property. We have proved this theorem without using the condition of completeness of the b-metric space. The result is an extension and generalization of many results available in metric space. A suitable example is also discussed to validate the result.

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Acknowledgements

The authors are thankful to the affiliated college authorities for financial support given by them.

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Authors and Affiliations

  1. Rajiv Gandhi College of Engineering and Research, Nagpur, India

    Anushri A. Aserkar

  2. Yeshwantrao Chavan College of Engineering, Nagpur, India

    Manjusha P. Gandhi

Authors
  1. Anushri A. Aserkar
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  2. Manjusha P. Gandhi
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Corresponding author

Correspondence to Anushri A. Aserkar .

Editor information

Editors and Affiliations

  1. Department of Applied Mathematics, Delhi Technological University, New Delhi, Delhi, India

    Naokant Deo

  2. Department of Mathematics, Netaji Subhas University of Technology, New Delhi, Delhi, India

    Vijay Gupta

  3. Department of Mathematics, Lucian Blaga University of Sibiu, Sibiu, Romania

    Ana Maria Acu

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

    P. N. Agrawal

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Aserkar, A.A., Gandhi, M.P. (2020). The Unique Common Fixed Point Theorem for Four Mappings Satisfying Common Limit in the Range Property in b-Metric Space. In: Deo, N., Gupta, V., Acu, A., Agrawal, P. (eds) Mathematical Analysis I: Approximation Theory . ICRAPAM 2018. Springer Proceedings in Mathematics & Statistics, vol 306. Springer, Singapore. https://doi.org/10.1007/978-981-15-1153-0_14

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