On Equilibrium Problems Involving Strongly Pseudomonotone Bifunctions
D. Muu Le(ldmuumath.ac.vn)
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
Entry Submitted: 07/05/2013
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