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Open AccessArticle

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

School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404020, China
Mathematics 2019, 7(12), 1222; https://doi.org/10.3390/math7121222
Received: 24 October 2019 / Revised: 5 December 2019 / Accepted: 6 December 2019 / Published: 11 December 2019
(This article belongs to the Special Issue Fixed Point Theory and Dynamical Systems with Applications)
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. View Full-Text
Keywords: E-metric space; semi-interior point; e-sequence; e-Cauchy sequence; fixed point; T-stable E-metric space; semi-interior point; e-sequence; e-Cauchy sequence; fixed point; T-stable
MDPI and ACS Style

Huang, H. Topological Properties of E-Metric Spaces with Applications to Fixed Point Theory. Mathematics 2019, 7, 1222.

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