Abstract
This paper provides for the first time some computable smoothing functions for variational inequality problems with general constraints. This paper proposes also a new version of the smoothing Newton method and establishes its global and superlinear (quadratic) convergence under conditions weaker than those previously used in the literature. These are achieved by introducing a general definition for smoothing functions, which include almost all the existing smoothing functions as special cases.
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Qi, L., Sun, D. Smoothing Functions and Smoothing Newton Method for Complementarity and Variational Inequality Problems. Journal of Optimization Theory and Applications 113, 121–147 (2002). https://doi.org/10.1023/A:1014861331301
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DOI: https://doi.org/10.1023/A:1014861331301