THE TIKHONOV REGULARISATION METHOD FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS
Keywords:Equilibrium problems, Multi-valued variational inequalities, Tikhonov regularisation, Pseudomonotonicity
We extend the Tikhonov regularisation method widely used in optimisation and variational inequalities to pseudomonotone equilibrium problems. In this case, the Tikhonov regularised sub-problems have a unique solution only in the limit, but any Tikhonov trajectory tends to the solution of the original problem that is nearest to the given guess solution. Application to multi-valued pseudomonotone variational inequality problems is discussed.
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Copyright (c) 2012 Phạm Gia Hưng, Lê Dũng Mưu
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