Upper Limit Superior and Lower Limit Inferior of Soft Sequences

  • Abstract
  • Keywords
  • References
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  • 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



  • Keywords

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

  • 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.




Article ID: 22010
DOI: 10.14419/ijet.v7i4.19.22010

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