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Partial b-Metric Spaces and Fixed Point Theorems

Mediterranean Journal of Mathematics volume 11, pages 703–711 (2014)Cite this article

Abstract

The purpose of this paper is to introduce the concept of partial b-metric spaces as a generalization of partial metric and b-metric spaces. An analog to Banach contraction principle, as well as a Kannan type fixed point result is proved in such spaces. Some examples are given which illustrate the results.

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Authors and Affiliations

  1. Department of Applied Mathematics, Shri Vaishnav Institute of Technology and Science, Gram Baroli, Sanwer Road, Indore, MP, 453331, India

    Satish Shukla

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  1. Satish Shukla
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Correspondence to Satish Shukla.

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Shukla, S. Partial b-Metric Spaces and Fixed Point Theorems. Mediterr. J. Math. 11, 703–711 (2014). https://doi.org/10.1007/s00009-013-0327-4

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  • DOI: https://doi.org/10.1007/s00009-013-0327-4

Mathematics Subject Classification (2000)

  • 54H25
  • 47H10

Keywords

  • Partial b-metric space
  • b-metric space
  • fixed point
  • contraction