Some results related with b-intuitionistic fuzzy normed spaces
DOI:
https://doi.org/10.32792/jeps.v10i2.70Keywords:
b-intuitionistic fuzzy normed space, Cartesian product and complete b-intuitionistic fuzzy normed spacesAbstract
In this paper, we introduce some application related to an b-intuitionistic fuzzy normed space and we define the Cartesian product of two b-intuitionistic fuzzy normed spaces, then we prove that the Cartesian product of two b-intuitionistic fuzzy normed space is also b-intuitionistic fuzzy normed space. Finally, we prove the completeness of the Cartesian product of two complete b-intuitionistic fuzzy normed spaces.References
A. Katsaras, Fuzzy Topological Vector Spaces, Fuzzy sets and systems, 12, 1984, 143-154.
B.T. Bilalov, S.M. Farahani and F.A. Guliyeva, The Intuitionistic Fuzzy Normed Space of Coefficients, Abstract and Applied Analysis, vol.2012, 1-11.
I.A. Bakhtin, The Contraction Mapping Principle in Almost Metric Spaces, Func.Anal., 1989, 30, 26-37.
H.A. Bakry, On Fixed Point in a Generalized and Partial b-Metric Space, University of Basrah, 2019.
S. Czerwik, Contractive Mappings in b-metric Spaces, Acta Math. Inform Univ Ostraviensis 1993: 1,5-11.
T. Dosenovic, A. Javaheri, S. Sedghi and N. Shobe, Coupled Fixed Point Theorem in b-Fuzzy Metric Spaces, Novi Sad J. Math., vol.47, no.1, 2017, 77-
I.Kramosil and J. Michalek, Fuzzy Metric and Statistical Metric Spaces, kybernetik, 11, 1975, 336-344.
M.Pacurar, A fixed Point Result For -Contraction on b-metric Spaces With Out The Boundednees Assumption, Fasciculi Mathematici, No.43, 2010,127137.
M.Mursaleen, V. Karakaya and S.A. Mohiuddine, Schauder basis, Separability and Approximation Property in Intuitionistic Fuzzy Normed Space, Abstract and Applied Analysis, vol.2010, 1-14.
K.P.R. Rao and A. Sombabu, Common Coupled Fixed Point Theorems in Dislocated Quasi Fuzzy b-Metric Spaces, International Journal of Mathematics and its Applications, 2018, 441-455.
S. Sedghi and N. Shobe, Common Fixed Point Theorem in b-fuzzy Metric Space, Nonlinear Functional Analysis and Applications 17(3), 2012, 349-359.
K. Tiwary, K. Sarkar and T. Gain, Some Common Fixed Point Theorems in b-Metric Spaces, I.J.C.R.D., VOL.3, 2018, 2456-3137.
Downloads
Published
Issue
Section
License
Copyright Policy
Authors retain copyright of their articles published in the Journal of Education for Pure Science (JEPS).
By submitting their work, authors grant the journal a non-exclusive license to publish, distribute, and archive the article in all formats and media.
License
All articles published in JEPS are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
This license permits unrestricted use, distribution, and reproduction in any medium, provided that the original author(s) and the source are properly credited.
Author Rights
Authors have the right to:
-
Share their articles on personal websites, institutional repositories, and academic platforms
-
Reuse their work in future research and publications
-
Distribute the published version without restriction
Journal Rights
The journal retains the right to:
-
Publish and archive the articles
-
Include them in indexing and archiving systems such as LOCKSS and CLOCKSS
-
Promote and disseminate the published work
Responsibility
The contents of all articles are the sole responsibility of the authors. The journal, editors, and editorial board are not responsible for any errors, opinions, or statements expressed in the published articles.
Open Access Statement
JEPS provides immediate open access to its content, supporting the principle that making research freely available to the public enhances global knowledge exchange.
This work is licensed under a Creative Commons Attribution 4.0 International License.
https://creativecommons.org/licenses/by/4.0/