• Title/Summary/Keyword: $\eta$-hemicontinuous

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HYBRID-TYPE SET-VALUED VARIATIONAL-LIKE INEQUALITIES IN REFLEXIVE BANACH SPACES

  • Lee, Byung-Soo;Khan, Mohd. Firdosh;Salahuddin, Salahuddin
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1371-1379
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    • 2009
  • In this paper, we introduce a relaxed hybrid-type$\eta$-f-${\alpha}$-pseudomo-notonicity. By using the KKM-technique, we establish some existence results for set-valued variational-like inequalities with $\eta-f-\alpha$-pseudomonotone, relaxed $\eta-f-\alpha$-pseudomonotone, Fan-KKM Theorem.

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SOME GENERALIZATION OF MINTY'S LEMMA

  • Jung, Doo-Young
    • The Pure and Applied Mathematics
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    • v.6 no.1
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    • pp.33-37
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    • 1999
  • We obtain a generalization of Behera and Panda's result on nonlinear scalar case to the vector version.

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