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On Equilibrium Problems Involving Strongly Pseudomonotone Bifunctions

D. Muu Le(ldmuu***at***math.ac.vn)
V. Quy Nguyen(quynv2002***at***yahoo.com)

Abstract: 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.

Keywords: Strongly pseudomonotone equilibria, solution existence, generalized projection method.

Category 1: Convex and Nonsmooth Optimization (Generalized Convexity/Monoticity )

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

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Entry Submitted: 07/05/2013
Entry Accepted: 07/05/2013
Entry Last Modified: 07/05/2013

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