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β-G-BICONTINUOUS, β-G-COMPACTNESS AND β-G-STABLE IN DITOPOLOGICAL TEXTURE SPACES

Hariwan Z. Ibrahim
한국수학교육학회|2019.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제26권 제1호|pp. 35-47

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키워드

texturedifunctionβ-g-closedβ-g-open.
주제분류수학

초록

The purpose of this paper is to introduce and study new notions of continuity, compactness and stability in ditopological texture spaces based on the notions of β-g-open and β-g-closed sets and some of their characterizations are obtained. Finally, the relationships between these concepts and the other related concepts are investigated.

Abstract

The purpose of this paper is to introduce and study new notions of continuity, compactness and stability in ditopological texture spaces based on the notions of β-g-open and β-g-closed sets and some of their characterizations are obtained. Finally, the relationships between these concepts and the other related concepts are investigated.

참고문헌 (15)

  1. H.Z. Ibrahim, "Strong forms of generalized closed sets in ditopological texture spaces", Journal of Advanced Studies in Topology, 6(2), pp.61~68 (2015)
  2. H.Z. Ibrahim, "α-g-Bicontinuous. α-g-bi-irresolute, α-g-compact and α-g-stable in com-plemented ditopological texture spaces", Journal of Advanced Studies in Topology, 6(1), pp.1~8 (2015)
  3. H.Z. Ibrahim, "Pre-g-bi-irresolute and pre-g-stable in ditopological texture spaces", Bol. Soc. Paran. Mat, 35(2), pp.247~255 (2017)
  4. H.Z. Ibrahim, "Semi-g-stable in ditopological texture spaces", Scientiae Mathematicae Japonicae Online, 28, pp.1~9 (2015)
  5. H.Z. Ibrahim, "b-g-Compactness in ditopological texture spaces", International Journal of Mathematics and Soft Computing, 5(2), pp.173~181 (2015)
  6. H.I. Mustafa, "Generalized closed sets in ditopological texture spaces with application in rough set theory", Journal of Advances in Mathematics, 4(2), pp.394~407 (2013)
  7. I. Arockia Rani, "On regular di lters in ditopological texture spaces", International Journal of Engineering Sciences & Research Technology, 2(9), pp.1~7 (2013)
  8. L.M. Brown, "Fuzzy sets as texture spaces, I. Representation Theorems", Fuzzy Sets Syst, 110(2), pp.227~236 (2000)
  9. L.M. Brown, "Ditopological texture spaces and fuzzy topology, II. Topological consierations", Fuzzy Sets Syst, 147(2), pp.201~231 (2004)
  10. L.M. Brown, "Ditopological texture spaces and fuzzy topology, I. Basic concepts", Fuzzy Sets Syst, 147(2), pp.171~199 (2004)
  11. L.M. Brown, "Ditopological texture spaces and intuitionistic sets", Fuzzy Sets Syst, 98, pp.217~224 (1998)
  12. M. Gohar, "Compactness in ditopological texture spaces", Ph.D., pp.2002
  13. S. Dost, "Semi-open and sem-closed sets in ditopological texture spaces", J. Adv. Math. Stud, 5(1), pp.97~110 (2012)
  14. S. Dost, "α-Open sets and α-bicontinuity in in ditopological texture spaces", J. Nonlinear Sci. Appl, 3(1), pp.12~20 (2010)
  15. S. Dost, "β-Open and β-closed sets in ditopological setting", Filomat, 24(2), pp.11~26 (2010)

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