• Title/Summary/Keyword: properly quasimonotone

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NEW GENERALIZED MINTY'S LEMMA

  • Kim, Seung-Hyun;Lee, Byung-Soo
    • Journal of applied mathematics & informatics
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    • v.27 no.3_4
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    • pp.819-827
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    • 2009
  • In this paper, we introduce new pseudomonotonicity and proper quasimonotonicity with respect to a given function, and show some existence results for strong implicit vector variational inequalities by considering new generalized Minty's lemma. Our results generalize and extend some results in [1].

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MINTY'S LEMMA FOR STRONG IMPLICIT VECTOR VARIATIONAL INEQUALITY SYSTEMS

  • Kim, Seung-Hyun;Lee, Byung-Soo
    • The Pure and Applied Mathematics
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    • v.15 no.4
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    • pp.423-432
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    • 2008
  • 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].

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