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

Huaping Huang
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Huaping Huang: School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404020, China

Mathematics, 2019, vol. 7, issue 12, 1-14

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.

Keywords: E -metric space; semi-interior point; e-sequence; e-Cauchy sequence; fixed point; T-stable (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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