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Properties and principles in Branciari distance space

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Abstract

In this paper, we topologically study the generalized metric space proposed by Branciari. Many familiar topological properties and principles still hold in certain Branciari distance spaces, although some results might need some advanced assumptions.

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Authors and Affiliations

  1. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan

    Erdal Karapinar

  2. LMAM and School of Mathematical Sciences, Peking University, Beijing, 100871, China

    Dong Zhang

Authors
  1. Erdal Karapinar
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  2. Dong Zhang
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Correspondence to Erdal Karapinar.

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Karapinar, E., Zhang, D. Properties and principles in Branciari distance space. J. Fixed Point Theory Appl. 21, 72 (2019). https://doi.org/10.1007/s11784-019-0710-2

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  • DOI: https://doi.org/10.1007/s11784-019-0710-2

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