THE TIKHONOV REGULARISATION METHOD FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS

Authors

  • Phạm Gia Hưng Nha Trang University, Viet Nam
  • Lê Dũng Mưu Institute of Mathematics, Vietnamese Academy of Science and Technology, Viet Nam

DOI:

https://doi.org/10.37569/DalatUniversity.2.2.196(2012)

Keywords:

Equilibrium problems, Multi-valued variational inequalities, Tikhonov regularisation, Pseudomonotonicity

Abstract

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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Published

30-06-2012

Volume and Issues

Volume 2, Issue 2 (2012) - [No 3a, Old version]

Section

Natural Sciences and Technology

Copyright & License

Copyright (c) 2012 Phạm Gia Hưng, Lê Dũng Mưu

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Hưng, P. G., & Mưu, L. D. (2012). THE TIKHONOV REGULARISATION METHOD FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS. Dalat University Journal of Science, 2(2), 45-50. https://doi.org/10.37569/DalatUniversity.2.2.196(2012)
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