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Generalized multivalued variational inequalities. III. (English) Zbl 0954.49011

The author has studied some new classes of multivalued mixed quasivariational inequalities, which have been introduced here for the first time. These classes include the previously known classes of variational inequalities and related optimization problems as special cases. Among other things it is proved that multivalued mixed quasivariational inequalities are equivalent to the fixed point problems and the implicit resolvent equations.
For Part I and II see [M. A. Noor, Dyn. Syst. Appl. 4, No. 3, 469-476 (1995; Zbl 0865.49011) and Comput. Math. Appl. 30, No. 11, 83-89 (1995; Zbl 0881.49006)].

MSC:

49J40 Variational inequalities
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