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Convergence analysis of the iterative methods for quasi-complementarity problems. (English) Zbl 0651.49003

The author gives a survey on the iterative methods for quasi- complementarity problems of the form: Find u in C(u) such that u-m(u)\(\geq 0\), T(u)\(\geq 0\), \((u-m(u),T(u))=0\), where T is a continuous mapping in \(R^ n\), m is a point-to-point mapping in \(R^ n\), C is a closed convex set in \(R^ n\) and \(C(u)=m(u)+C\).
Reviewer: V.Mustonen

MSC:

49J40 Variational inequalities
65K05 Numerical mathematical programming methods
90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
49M99 Numerical methods in optimal control
74S30 Other numerical methods in solid mechanics (MSC2010)
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