Invariant Convergence of Double Sequences in Fuzzy Normed Spaces
Abstract
In this study, for double sequences, we defined the notions of invariant convergence and invariant Cauchy double sequences in fuzzy normed spaces. Also, we investigated some properties of invariant convergence and relations between invariant convergence and invariant Cauchy double sequences in fuzzy normed spaces.
Keywords
References
- [1] B. Altay and F. Bas¸ar, Some new spaces of double sequences, J. Math. Anal. Appl. 309(1) (2005), 70–90.
- [2] T. Bag and S.K. Samanta, Finit dimensional fuzzy normed spaces, Annals of Fuzzy Math. and Inf., 22 (2009), 1700–1704.
- [3] S. Banach, Th´eorie des Operations Lineaires, Warszawa, (1932).
- [4] C.L. Chang, Fuzzy topolojical spaces, J. Math. Anal. Appl. 24 (1968), 191–201.
- [5] S.C. Cheng and J.N. Mordeson, Fuzzy linear operator and fuzzy normed linear spaces, Bull. Calcutta Math. Soc., 86 (1994), 429–436.
- [6] N.R. Das and P. Das, Fuzzy topology generated by fuzzy norm, Fuzzy Sets and Systems 107 (1999), 349–354.
- [7] D. Dean and R.A. Raimi, Permutations with comparable sets of invariant means, Duke Math. 27 (1960), 467–479.
- [8] E. D¨undar, U. Ulusu and F. Nuray, On ideal invariant convergence of double sequences and some properties, Creat. Math. Inform. 27(2) (2018), 161–169.
Details
Primary Language
English
Subjects
Mathematical Methods and Special Functions
Journal Section
Research Article
Publication Date
April 30, 2026
Submission Date
February 6, 2026
Acceptance Date
April 14, 2026
Published in Issue
Year 2026 Volume: 14 Number: 1
