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Best Proximity Point Theorems for Generalized Contractive Mappings

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 730))

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Abstract

Recently, J. Calallero (Fixed Point Theory and Applications 2012, 2012:231) observed best proximity results for Geraghty-contractions by using the P-property. In this paper we introduce the notion of Boyd and wong result and Generalized weakly contractive mapping and show the existence and uniqueness of the best proximity point of such contractions in the setting of a metric space.

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Author information

Authors and Affiliations

  1. Research Department of Mathematics, St. Joseph’s College (Autonomous), Tiruchirappalli, India

    S. Arul Ravi & A. Anthony Eldred

Authors
  1. S. Arul Ravi
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  2. A. Anthony Eldred
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Corresponding author

Correspondence to S. Arul Ravi .

Editor information

Editors and Affiliations

  1. Department of Business, University of Barcelona, Barcelona, Spain

    Anna M. Gil-Lafuente

  2. Department of Management Control and Information Systems, University of Chile, Santiago, Chile

    José M. Merigó

  3. Department of Mathematics, University of Delhi, Delhi, India

    Bal Kishan Dass

  4. Department of Applied Sciences, Delhi Technical Campus, Greater Noida, Uttar Pradesh, India

    Rajkumar Verma

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Arul Ravi, S., Anthony Eldred, A. (2018). Best Proximity Point Theorems for Generalized Contractive Mappings. In: Gil-Lafuente, A., Merigó, J., Dass, B., Verma, R. (eds) Applied Mathematics and Computational Intelligence. FIM 2015. Advances in Intelligent Systems and Computing, vol 730. Springer, Cham. https://doi.org/10.1007/978-3-319-75792-6_1

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  • DOI: https://doi.org/10.1007/978-3-319-75792-6_1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-75791-9

  • Online ISBN: 978-3-319-75792-6

  • eBook Packages: EngineeringEngineering (R0)

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