Some Equivalences between Cone $b$-Metric Spaces and $b$-Metric Spaces

By Poom Kumam, Nguyen Van Dung, VO Thi LE Hang. 2013

51 citations recorded by the source corpus.

and Applied Analysis 3 2. Main Results The following example shows that the family of all balls B(x, r) does not form a base for any topology on a b-metric space (X, d). Example 13. LetX = {0, 1, 1/2, . . . , 1/n, . . .} and d (x, y) = {{{{{ {{{{{ { 0 if x = y 1 if x = y ∈ {0, 1} 󵄨󵄨󵄨󵄨x − y 󵄨󵄨󵄨󵄨 if x = y ∈ {0, 1

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/2e419efc9cd01dedf9e86878baa841a72ad5dee4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. VO Thi LE Hang
2. Nguyen Van Dung

Citations in the corpus

• On relaxations of contraction constants and Caristi’s theorem in b-metric spaces (2016, result): “In recent times, b-metric spaces and the fixed point theory in b-metric spaces were studied by many authors [4, 7, 9, 16], [21, Chapter 12] and [23].”