• 제목/요약/키워드: weakly C(x)-L-pseudomonotone

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VECTOR VARIATIONAL INEQUALITY PROBLEMS WITH GENERALIZED C(x)-L-PSEUDOMONOTONE SET-VALUED MAPPINGS

  • Lee, Byung-Soo;Kang, Mee-Kwang
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제11권2호
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    • pp.155-166
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    • 2004
  • In this paper, we introduce new monotone concepts for set-valued mappings, called generalized C(x)-L-pseudomonotonicity and weakly C(x)-L-pseudomonotonicity. And we obtain generalized Minty-type lemma and the existence of solutions 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].

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