THE TIKHONOV REGULARISATION METHOD FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS
Tóm tắt
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.
Từ khóa
Equilibrium problems; Multi-valued variational inequalities; Tikhonov regularisation; Pseudomonotonicity
DOI: http://dx.doi.org/10.37569/DalatUniversity.2.2.196(2012)
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Copyright (c) 2012 Phạm Gia Hưng, Lê Dũng Mưu

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