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Vector Variational Inequality Problems with Generalized $C(x)$-$L$-pseudomonotone Set-valued Mappings

강미광|Byung-Soo Lee
한국수학교육학회|2004.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제11권 제2호|pp. 155-166

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Abstract

In this paper, we introduce new monotone concepts for set-valued map- pings, called generalized C(x)-L-pseudomonotonicity and weakly C(x)-L-pseudo- monotonicity. And we obtain generalized Minty-type lemma and the existence of so- lutions to vector variational inequality problems for weakly C(x)-L-pseudomonotone set-valued mappings, which generalizes and extends some results of Konnov & Yao [11], Yu & Yao [20], and others Chen & Yang [6], Lai & Yao [12], Lee, Kim, Lee & Cho [16] and Lin, Yang & Yao [18].

참고문헌 (17)

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  2. Chen, "Existence of solutions for a vector variational inequality" (1992)
  3. Chen, "Lec-ture Notes in Economics and Mathematical Systems" (1987), Springer-Verlag
  4. Chen, "vector variational inequality and optimization over ane？cient set" (1990)
  5. Chen, "The vector complementary problem and its equivalenceswith the weak minimal element in ordered spaces" (1990)
  6. Fan, "A generalization of Tychono？？'s ？", 1961 (1960), ~
  7. In, "Theorems of alternative" (1980)
  9. I. V. Konnov, "On the generalized vector variational inequality problem", 206(1), pp.42~58 (1997)
  10. T. C. Lai, "Existence results for VVIP", 9(3), pp.17~19 (1996)
  11. B. -S. Lee, "A vector version of Minty's lemma and application", 12(5), pp.43~50 (1999)
  12. B. -S. Lee, "A vector extension to Behera and Panda's generalizationof Minty's lemma", 31(11), pp.1483~1489 (2000)
  13. "Vector variational-type inequalities for set-valued mappings", 13(3), pp.57~62 (2000)
  14. G. M. Lee,, "Vector variational inequality as a toolfor studying vector optimization problems", 34(5), pp.745~765 (1998)
  15. K. L. Lin,, "Generalized vector variational inequalities", 92(1), pp.117~125 (1997)
  16. S. Schaible, "Criteria for generalized monotonicity" (1998), Kluwer Acad. Publ
  17. S. J. Yu, "On vector variational inequalities", 89(3), pp.749~769 (1996), Kyungsung University Dongeui University

관련 논문AI추천

Weakly Relaxed $\alpha$-semi-pseudomonotone Set-valued Variational-like Inequalities이병수, Bok-Doo Lee한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제3호On the Generalized Set-Valued Mixed Variational InequalitiesShin Min Kang, Yali Zhao, Zeqing Liu대한수학회 · 대한수학회논문집2003 · 제18권 제3호An extension of generalized vector quasi-variational inequality금상호, 김원규대한수학회 · 대한수학회논문집2006 · 제21권 제2호Some vector implicit complementarity problems with corresponding variational inequality problems강미광대한수학회 · 대한수학회논문집2007 · 제22권 제3호A variant of the generalized vector variational inequality with operator solutions금상호대한수학회 · 대한수학회논문집2006 · 제21권 제4호Solutions of vector variational inequality problemsSalahuddin강원경기수학회 · 한국수학논문집2018 · 제26권 제2호

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