Version 1
: Received: 25 September 2023 / Approved: 27 September 2023 / Online: 27 September 2023 (05:47:04 CEST)
How to cite:
Kouhsari, F.; Khoddami, A.R. Fuzzy Normed Linear Spaces Generated by Linear Functionals. Preprints2023, 2023091835. https://doi.org/10.20944/preprints202309.1835.v1
Kouhsari, F.; Khoddami, A.R. Fuzzy Normed Linear Spaces Generated by Linear Functionals. Preprints 2023, 2023091835. https://doi.org/10.20944/preprints202309.1835.v1
Kouhsari, F.; Khoddami, A.R. Fuzzy Normed Linear Spaces Generated by Linear Functionals. Preprints2023, 2023091835. https://doi.org/10.20944/preprints202309.1835.v1
APA Style
Kouhsari, F., & Khoddami, A.R. (2023). Fuzzy Normed Linear Spaces Generated by Linear Functionals. Preprints. https://doi.org/10.20944/preprints202309.1835.v1
Chicago/Turabian Style
Kouhsari, F. and A. R. Khoddami. 2023 "Fuzzy Normed Linear Spaces Generated by Linear Functionals" Preprints. https://doi.org/10.20944/preprints202309.1835.v1
Abstract
For a nonzero normed linear space X, we will define some different classes of fuzzy norms on X generated by linear and bounded linear functionals. Also separate continuity of the elements of each class are investigated. The aim of this research is to introduce a source of examples and counterexamples in the field of fuzzy normed spaces.
Keywords
Fuzzy normed linear space; Linear functional; Separate continuity
Subject
Computer Science and Mathematics, Analysis
Copyright:
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.
