A new note on asymmetric metric spaces
| dc.contributor.author | Ince, Dagci, F. | |
| dc.contributor.author | Misirlioglu, T. | |
| dc.contributor.author | Akalli, H.Ç. | |
| dc.contributor.author | Ko?inac, L.D.R. | |
| dc.date.accessioned | 2024-07-12T21:40:48Z | |
| dc.date.available | 2024-07-12T21:40:48Z | |
| dc.date.issued | 2023 | en_US |
| dc.department | [Belirlenecek] | en_US |
| dc.description | 6th International Conference of Mathematical Sciences, ICMS 2022 -- 20 July 2022 through 24 July 2022 -- -- 193514 | en_US |
| dc.description.abstract | If the classical metric axioms on a set X are changed by disregarding the case that d(x, y)=0 implies x=y, the general properties for metric spaces will easily be extended. In this case d is called a pseudo-metric. Neverthless, if the necessity of the symmetry of d is disregarded, the proper extensions of metric consequences are not evident at all. A pseudo-asymmetric on a non-empty set X is a non-negative real-valued function p on X×X such that for x, y, z?X we have p(x, x)=0 and p(x, y)?p(x, z)+p(z, y). If p satisfies the additional condition that p(x, y)=0 implies x=y, then p is an asymmetric metric on X. A set with an asymmetric metric is called an asymmetric space. Since symmetry necessity is not satisfied, there are two kinds of open balls, namely forward balls and backward balls. As a result, there are two kinds of topological notions. Here we give some theorems related to convergence of sequences of functions and forward and backward total boundedness on asymmetric spaces. © 2023 AIP Publishing LLC. | en_US |
| dc.identifier.doi | 10.1063/5.0175842 | |
| dc.identifier.isbn | 9.78074E+12 | |
| dc.identifier.issn | 0094-243X | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-85177639233 | en_US |
| dc.identifier.scopusquality | N/A | en_US |
| dc.identifier.uri | https://doi.org/10.1063/5.0175842 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12415/7472 | |
| dc.identifier.volume | 2879 | en_US |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | en_US |
| dc.publisher | American Institute of Physics Inc. | en_US |
| dc.relation.ispartof | AIP Conference Proceedings | en_US |
| dc.relation.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.snmz | KY08816 | |
| dc.subject | Asymmetric | en_US |
| dc.subject | Backward Convergence. | en_US |
| dc.subject | Forward Convergence | en_US |
| dc.title | A new note on asymmetric metric spaces | en_US |
| dc.type | Conference Object | |
| dspace.entity.type | Publication |
