On Equilibrium Problems Involving Strongly Pseudomonotone Bifunctions

  • Le Dung Muu
  • V. Quy Nguyen
    • Categories Generalized Convexity/Monoticity Tags , , Short URL: https://optimization-online.org/?p=12490

    We study equilibrium problems with strongly pseudomonotone bifunctions in real Hilbert spaces. We show the existence of a unique solution. We then propose a generalized strongly convergent projection method for equilibrium problems with strongly pseudomonotone bifunctions. The proposed method uses only one projection without requiring Lipschitz continuity. Application to variational inequalities is discussed.

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    Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, Vietnam, 5/2013

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