Upper Limit Superior and Lower Limit Inferior of Soft Sequences

Authors

  • Ahmed Hasan Hameed
  • Ekhlas Annon Mousa
  • Abdulsattar Abdullah hamad
  • . .

DOI:

https://doi.org/10.14419/ijet.v7i4.19.22010

Published:

2018-11-27

Keywords:

upper limit superior, lower limit inferior, limit superior, limit inferior, sequences and subsequences, supremum & infimum

Abstract

In this paper we have provided some of evidence work of the authors R.N.Hasan, O.A Tantawy in 2016 [1] thy given proof of the concept between two bound soft sets & subsets of soft elements real numbers also was concluded an upper bound and lower bound by using two sequences of soft element real numbers which is

   

In this paper, supposed to extend R.N.Hasan, O.A Tantawy work but here we are given new notion and proof for upper limit superior and lower limit inferior with two sequences and subsequences for the conclude new proof after recalled that, which is upper limit superior and lower limit inferior By this we have proved above new two theorems and one proposition & strengthen the example.

AMS Subject Classification: 06D72, 40A05, 54A40

 

 

References

[1] Hassan.R.N , Tantawy.OA (2016), Soft Real Analysis, Journal of Progressive Research in Mathematics. vol 8, Issue 1, 1207-1219

[2] Das.S, samanta,SK, (2012) soft real sets, soft real numbers and their properties, Journal of fuzzy mathematics vol.20,NO.3, P 551-576.

[3] Molodtsov.D, (1999), Soft set theory-first results, Compu. Mathematics Applications,Vol.37,issue (4/5), 19-31 Available online https://doi.org/10.1016/S0898-1221(99)00056-5 last visited 16.01. 2018

[4] Jun YB. Kimand HS. Park CH (2011), Positive implicative ideals of BCK-algebras based on soft set theory, Bull.Malays.Math.Sci-Soc, 34 (2), 345-354

[5] Irfan Ali M, Feng.F, Liu.X, Min WK, and Shabir.M (2009), On some new operations in soft set theory, Computers and Mathematics with Applications, 57(9), 1547-1553 available onlin ehttps://doi.org/10.1016/j.camwa.2008.11.009 last visited 02.02. 2018.

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How to Cite

Hasan Hameed, A., Annon Mousa, E., Abdullah hamad, A., & ., . (2018). Upper Limit Superior and Lower Limit Inferior of Soft Sequences. International Journal of Engineering & Technology, 7(4.19), 40–44. https://doi.org/10.14419/ijet.v7i4.19.22010

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Received 2018-11-28
Accepted 2018-11-28
Published 2018-11-27