Abstract
This paper introduces the notion of Cauchy sequence, convergent sequence and completeness in fuzzy n-normed linear space. AMS Mathematics Subject Classification: 46S40, 03E72.
Highlights
Gahler [4] introduced the theory of n-norm on a linear space
Our object in this paper is to introduce the notion of Cauchy sequence and convergent sequence in fuzzy nnormed linear space and to study the completeness of the fuzzy n-normed linear space
An n-normed linear space is said to be complete if every Cauchy sequence in it is convergent
Summary
Gahler [4] introduced the theory of n-norm on a linear space. For a systematic development of n-normed linear space one may refer to [5, 6, 8, 9]. In [5], Hendra Gunawan and Mashadi have discussed the Cauchy sequence and convergent sequence in n-normed linear space. Our object in this paper is to introduce the notion of Cauchy sequence and convergent sequence in fuzzy nnormed linear space and to study the completeness of the fuzzy n-normed linear space.
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