• Title/Summary/Keyword: generalized Lipschitzian type mapping

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GENERALIZED SET-VALVED STRONGLY NONLINEAR VARIATIONAL INEQUALITIES IN BANACH SPACES

  • Cho, Y.J.;Fang, Y.P.;Huang, N.J.;Kim, K.H.
    • 대한수학회지
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    • 제40권2호
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    • pp.195-205
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    • 2003
  • In this paper, we introduce and study a new class of generalized strongly nonlinear variational inequalities with setvalued mappings. By using the KKM technique, we prove the existence and uniqueness of solution for this class of generalized setvalued strongly nonlinear variational inequalities in reflexive Banach spaces. Our results include the main results of Verma [16], [17] as special cases.