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MINTY'S LEMMA FOR STRONG IMPLICIT VECTOR VARIATIONAL INEQUALITY SYSTEMS

이병수|김승현
한국수학교육학회|2008.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제15권 제4호|pp. 423-432

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참고문헌

키워드

pseudomonotoneproperly quasimonotoneMinty's Lemmahemi-continuous.
주제분류수학

초록

In this paper, we consider a new Minty's Lemma for strong implicit vector variational inequality systems and obtain some existence results for systems of strong implicit vector variational inequalities which generalize some results in [1].

Abstract

In this paper, we consider a new Minty's Lemma for strong implicit vector variational inequality systems and obtain some existence results for systems of strong implicit vector variational inequalities which generalize some results in [1].

참고문헌 (6)

  1. Y.P. Fang, "Existence results for system of strong implicit vector varia-tional inequalities", Acta Math. Hungar, 103(4), pp.265~277 (2004)
  2. "Variational-like inequalities with generalized monotone mappings in Banach spaces", J. Optim. Theory Appl, 118, pp.327~338 (2003)
  3. G. Kassay, "Factorization of Minty and Stampacchia variational inequality system", European J. Oper. Res, 143(2), pp.377~389 (2002)
  4. S.H. Kim, "New generalized Minty's Lemma. (submitted)", ~
  5. G.M. Lee, "Generalized vector variational inequality and fuzzy extension", Appl. Math. Lett, 6(6), pp.47~51 (1993)
  6. K. Fan, "Some properties of convex sets related to fixed point theorems", Math. Ann, 266, pp.519~537 (1984)

관련 논문AI추천

GENERALIZED VECTOR MINTY'S LEMMA이병수한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제3호GENERALIZED F-IMPLICIT MULTIVALUED VARIATIONAL INEQUALITY PROBLEMS AND COMPLEMENTARITY PROBLEMS이병수, M. Firdosh Khan, Salahuddin영남수학회 · East Asian Mathematical Journal2010 · 제26권 제3호Solutions of vector variational inequality problemsSalahuddin강원경기수학회 · 한국수학논문집2018 · 제26권 제2호Generalized system for relaxed cocoercive extended general variational inequalitiesChen Jun-Min, Tong Hui영남수학회 · East Asian Mathematical Journal2012 · 제28권 제5호Mixed vector FQ-implicit variational inequality with local non-positivityByung-Soo Lee대한수학회 · 대한수학회논문집2009 · 제24권 제3호SCALARIZATION METHODS FOR MINTY-TYPE VECTOR VARIATIONAL INEQUALITIES이병수영남수학회 · East Asian Mathematical Journal2010 · 제26권 제3호

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