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Vietnam Journal of Mathematics 36:2(2008)
209-228
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An LQ Regularization Method for
Pseudomonotone Equilibrium Problems on Polyhedra
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Pham Ngoc Anh
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Abstract. We present a new method for solving
equilibrium problems on polyhedra. The method is based on the special
logarithmic quadratic function which replaces the usual quadratic. We first
use this function to solve a pseudomonotone equilibrium problems satisfying
a certain Lipschitz condition. Next, to avoid the Lipschitz condition we
combine this technique with line search technique to obtain a convergent
algorithm for pseudomonotone equilibrium problems. An application to
variational inequalities is discussed.
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2000 Mathematics Subject Classification: 65K10, 90C25.
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Keywords: Equilibrium problem, pseudomonotone,
logarithmic quadratic, line search algorithm, variational inequality.
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Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
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