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Convergence axioms on generalized metric spaces

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Abstract

In this paper, we derive some implications and nonimplications among various kinds of convergence axioms derived in generalized metric space. Moreover, we prove an alternative proof for generalization of Banach contraction principle and illustrate this with a suitable example.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology, Andhra Pradesh, Tadepalligudem, AP, India

    P. Sumati Kumari

  2. Department of Mathematics, Acharya Nagarjuna University, Guntur, AP, India

    I. Ramabhadra Sarma

  3. Department of Mathematics, Vijaya college of Engineering, Khammam, Telangana, India

    J. Madhusudana Rao

Authors
  1. P. Sumati Kumari
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  2. I. Ramabhadra Sarma
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  3. J. Madhusudana Rao
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Corresponding author

Correspondence to P. Sumati Kumari.

Additional information

I. Ramabhadra Sarma is a retired professor from Acharya Nagarjuna University, Andhra Pradesh, India.

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Kumari, P.S., Sarma, I.R. & Rao, J.M. Convergence axioms on generalized metric spaces. Afr. Mat. 28, 35–43 (2017). https://doi.org/10.1007/s13370-016-0425-0

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  • DOI: https://doi.org/10.1007/s13370-016-0425-0

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