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Topological Properties of E -Metric Spaces with Applications to Fixed Point Theory

Author

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  • Huaping Huang

    (School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404020, China)

Abstract

The purpose of this paper is to present some topological properties in E -metric spaces such as the properties of e -sequences, the decision conditions of e -Cauchy sequences, the characteristics of non-normal cones, and so on. Moreover, the theorem of nested closed-balls in such spaces is displayed. In addition, some principal applications to fixed point theory are also given.

Suggested Citation

  • Huaping Huang, 2019. "Topological Properties of E -Metric Spaces with Applications to Fixed Point Theory," Mathematics, MDPI, vol. 7(12), pages 1-14, December.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:12:p:1222-:d:296566
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    References listed on IDEAS

    as
    1. Basile, Achille & Graziano, Maria Gabriella & Papadaki, Maria & Polyrakis, Ioannis A., 2017. "Cones with semi-interior points and equilibrium," Journal of Mathematical Economics, Elsevier, vol. 71(C), pages 36-48.
    2. Ahmed Al-Rawashdeh & Wasfi Shatanawi & Muna Khandaqji, 2012. "Normed Ordered and ð ¸ -Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-11, May.
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    Cited by:

    1. Wei-Shih Du & Chung-Chuan Chen & Marko Kostić & Bessem Samet, 2023. "Preface to the Special Issue “Fixed Point Theory and Dynamical Systems with Applications”," Mathematics, MDPI, vol. 11(13), pages 1-2, June.

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