Next Article in Journal
Quantiles in Abstract Convex Structures
Next Article in Special Issue
Some Summation Theorems for Generalized Hypergeometric Functions
Previous Article in Journal
Decision-Making with Bipolar Neutrosophic TOPSIS and Bipolar Neutrosophic ELECTRE-I
Previous Article in Special Issue
Yukawa Potential, Panharmonic Measure and Brownian Motion
Article Menu

Export Article

Open AccessArticle
Axioms 2018, 7(2), 34; https://doi.org/10.3390/axioms7020034

Pre-Metric Spaces Along with Different Types of Triangle Inequalities

Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 802, Taiwan
Received: 25 April 2018 / Revised: 19 May 2018 / Accepted: 21 May 2018 / Published: 24 May 2018
(This article belongs to the Special Issue Mathematical Analysis and Applications)
Full-Text   |   PDF [249 KB, uploaded 24 May 2018]

Abstract

The T 1 -spaces induced by the pre-metric spaces along with many forms of triangle inequalities are investigated in this paper. The limits in pre-metric spaces are also studied to demonstrate the consistency of limit concept in the induced topologies. View Full-Text
Keywords: quasi-metric space; Hausdorff space; T1-space; triangle inequalities quasi-metric space; Hausdorff space; T1-space; triangle inequalities
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Wu, H.-C. Pre-Metric Spaces Along with Different Types of Triangle Inequalities. Axioms 2018, 7, 34.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Axioms EISSN 2075-1680 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top