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Weakly convergent sequences in fuzzy normed spaces

조규근
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2021.09|한국수학논문집 (Korean Journal of Mathematics)|제29권 제3호|pp. 613-620

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참고문헌

키워드

convergent sequencesfuzzy normed spacesweakly convergent sequences
주제분류수학

초록

In this paper, we introduce the definition of weakly convergent sequence in fuzzy normed spaces. We investigate relationship between convergent sequence and weakly convergent sequence in fuzzy normed spaces. We also study the dual spaces of a standard fuzzy normed space and $01$-fuzzy normed space.

Abstract

In this paper, we introduce the definition of weakly convergent sequence in fuzzy normed spaces. We investigate relationship between convergent sequence and weakly convergent sequence in fuzzy normed spaces. We also study the dual spaces of a standard fuzzy normed space and $01$-fuzzy normed space.

참고문헌 (8)

  1. C. Alegre, "The Hahn-Banach Extension Theorem for Fuzzy Normed Spaces Re-visited", Abstr. Appl. Anal, 2014 (2014)
  2. T. Bag, "Finite dimensional fuzzy normed linear spaces", J. Fuzzy Math, 11, pp.687~705 (2003)
  3. T. Bag, "Fuzzy bounded linear operators in felbin's type fuzzy normed linear spaces", Fuzzy Sets Syst, 151, pp.513~547 (2005)
  4. K. Cho, "On convergences in fuzzy normed spaces", Far East J. Math. Sci, 109, pp.129~141 (2018)
  5. 조규근, "Some results on convergences in fuzzy metric spaces and fuzzy normed spaces", 대한수학회논문집, 35(1), pp.185~199 (2020), 대한수학회[DOI]
  6. C. Felbin, "Finite dimensional fuzzy normed linear spaces", Fuzzy Sets Syst, 48, pp.239~248 (1992)
  7. R. Saadati, "Some results on fuzzy Banach spaces", Journal of Applied Mathematics and Informatics, 17(1-2), pp.475~484 (2005), 한국전산응용수학회
  8. J. Simon, "Banach, Fr_echet, Hilbert and Neumann Spaces" (2017), John Wiley & Sons

관련 논문AI추천

On a convexity in fuzzy normed linear spaces조규근기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2021 · 제22권 제3호Some results on convergences in fuzzy metric spaces and fuzzy normed spaces이종성, 조규근대한수학회 · 대한수학회논문집2020 · 제35권 제1호Conjugate space of fuzzy soft normed linear spaceM. Merlin Priyanga, Thangaraj Beaula기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제13권 제5호Some results on finite dimensional fuzzy cone normed linear spaceP. Tamang, T. Bag기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제13권 제1호Statistically Convergent Fuzzy Sequence Spaces by Fuzzy MetricParitosh Chandra Das경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제3호Sequence Spaces of Fuzzy Real Numbers Using Fuzzy MetricBinod Chandra Tripathy, Stuti Borgohain경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제1호

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