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FS-convergent in norm (Fsc1 n–Convergent) in a fuzzy normed Riesz spaces
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In this paper, we introduce the concept of fuzzy statistical convergent in norm (Fsc1 n- Convergent) and (Fsc1n-Cauchy) for sequence in fuzzy normed Riesz spaces (FNRS) and study some outcomes related to these notions and we have established a number of its properties. also we see that a sequence be a FS-convergent in norm if and only if there exist a subsequence convergent to x0. So we proved that a fuzzy s-complete Riesz space ???? with the Fsc1 n-Norm is order continuous it’s equivalent to every increasing with bounded above is Fsc1 n-convergent. And note every Fsc1 n-Cauchy sequence is Convergent to an element T0 ∈ ????. Thus, we verified that ???? is a (BFRS).
Title: FS-convergent in norm (Fsc1 n–Convergent) in a fuzzy normed Riesz spaces
Description:
In this paper, we introduce the concept of fuzzy statistical convergent in norm (Fsc1 n- Convergent) and (Fsc1n-Cauchy) for sequence in fuzzy normed Riesz spaces (FNRS) and study some outcomes related to these notions and we have established a number of its properties.
also we see that a sequence be a FS-convergent in norm if and only if there exist a subsequence convergent to x0.
So we proved that a fuzzy s-complete Riesz space ???? with the Fsc1 n-Norm is order continuous it’s equivalent to every increasing with bounded above is Fsc1 n-convergent.
And note every Fsc1 n-Cauchy sequence is Convergent to an element T0 ∈ ????.
Thus, we verified that ???? is a (BFRS).
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