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Zbl 1045.49012
Noor, M.A.; Akhter, M.; Noor, K.I.
Inertial proximal method for mixed quasi variational inequalities. (English)
[J] Nonlinear Funct. Anal. Appl. 8, No. 3, 489-496 (2003). ISSN 1229-1595

Summary: In this paper, we use the auxiliary principle technique to suggest and analyze an inertial proximal method for a class of mixed quasivariational inequalities. We have shown that the convergence of the proposed method requires only pseudomonotonicity, which is a weaker condition than monotonicity. The proposed method includes the classical proximal method as a special case. Since the mixed quasivariational inequalities include variational and complementarity problems as special cases, the result proved in this paper continue to hold for these problems.

MSC 2000:: *49J40 Variational methods including variational inequalities
90C33 Complementarity problems

Keywords: variational inequalities; auxiliary principle; inertial proximal methods; convergence; skew symmetric functions; pseudomonotonicity

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