본문 바로가기
KERD
논문KCI 등재

Convergence theorems for Denjoy-Pettis integrable fuzzy mappings

박춘기
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2010.09|한국수학논문집 (Korean Journal of Mathematics)|제18권 제3호|pp. 229-241

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

fuzzy mappingset-valued mappingDenjoy integralDenjoy-Pettis integral
주제분류수학

초록

In this paper, we introduce the Denjoy-Pettis integral of fuzzy mappings in Banach spaces and obtain some properties of the Denjoy-Pettis integral of fuzzy mappings and the convergence theorems for Denjoy-Pettis integrable fuzzy mappings.

Abstract

In this paper, we introduce the Denjoy-Pettis integral of fuzzy mappings in Banach spaces and obtain some properties of the Denjoy-Pettis integral of fuzzy mappings and the convergence theorems for Denjoy-Pettis integrable fuzzy mappings.

참고문헌 (16)

  1. R. J. Aumann, "Integrals of set-valued functions", J. Math. Anal. Appl., 12, pp.1~12 (1965)
  2. B. Cascales, "Birkhoff integral for multi-valued functions", J. Math. Anal. Appl., 297, pp.540~560 (2004)
  3. L. Di Piazza, "A decomposition theorem for compact-valued Hen-stock integral", Monatsh. Math., 148, pp.119~126 (2006)
  4. L. Di Piazza, "Set-valued Kurzweil-Henstock-Pettis integral", Set-Valued Anal., 13, pp.167~179 (2005)
  5. K. El Amri, "On the Pettis integral of closed valued multifunctions", Set-Valued Anal., 8, pp.329~360 (2000)
  6. R. A. Gordon, "The Denjoy extension of the Bochner, Pettis and Dunford in-tegrals", Studia Math., 92, pp.73~91 (1989)
  7. R. A. Gordon, "The Integrals of Lebesgue, Denjoy, Perron and Henstock", Grad. Stud. Math., 4 (1994), Amer. Math. Soc.
  8. O. Kaleva, "Fuzzy differential equations", Fuzzy Sets and Systems, 24, pp.301~317 (1987)
  9. N. Papageoriou, "On the theory of Banach space valued multifunctions", J. Mul-tivariate Anal., 17, pp.185~206 (1985)
  10. Chun-Kee Park, "Convergence theorems for set-valued Denjoy-Pettis integrable mappings", 대한수학회논문집, 24(2), pp.227~237 (2009), 대한수학회
  11. S. Saks, "Theory of the Integral" (1964), Dover
  12. J. Wu, "The w-derivatives of fuzzy mappings in Banach spaces", Fuzzy Sets and Systems, 119, pp.375~381 (2001)
  13. X. Xue, "Random fuzzy number integrals in Banach spaces", Fuzzy Sets and Systems, 66, pp.97~111 (1994)
  14. X. Xue, "On the convergence and representation of random fuzzy number integrals", Fuzzy Sets and Systems, 103, pp.115~125 (1999)
  15. G. Ye, "On Henstock-Kurzweil and McShane integrals of Banach space-valued functions", J. Math. Anal. Appl., 330, pp.753~765 (2007)
  16. W. Zhang, "Set-Valued Stochastic Process" (1996), Academic Press

관련 논문AI추천

On Henstock integral of fuzzy mappings in Banach spaces박춘기, 오미영강원경기수학회 · 한국수학논문집2009 · 제17권 제3호Convergence theorems for set-valued Denjoy-Pettis integrable mappingsChun-Kee Park대한수학회 · 대한수학회논문집2009 · 제24권 제2호ON THE DEBREU INTEGRAL OF FUZZY MAPPINGS IN BANACH SPACES박춘기한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제3호On the Birkhoff integral of fuzzy mappings in Banach spaces박춘기강원경기수학회 · 한국수학논문집2013 · 제21권 제4호On the Pettis integral of fuzzy mappings in Banach spaces박춘기대한수학회 · 대한수학회논문집2007 · 제22권 제4호The ap-Denjoy Integral of Banach-valued Functions김병무, 김영국, 박재명한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제3호

이 간행물의 다른 논문 (10건)

Convergence of an Implicit Iterative Process for Two Finite Families of Nonexpansive Mappings권영철, 조선영, Xiaolong Qin, 강신민pp. 213-227Projective properties of representations of a quiver Q= ● → ● as R[x]-modules박상원, 한준철, 강정희pp. 243-252Approximation theorem for contraction C-semigroups이영섭pp. 253-259Results on fuzzy r-minimal semicompactness on fuzzy minimal spaces김명환pp. 261-269Eakin-Nagata theorem for commutative rings whose regular ideals are finitely generated장규환pp. 271-275
원문 보기