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The Fréchet approximate Jacobian and local uniqueness in variational inequalities. (English) Zbl 1012.49009

The author establishes some sufficient conditions for the uniqueness of solutions to a variational inequality problem involving a continuous function (not necessarily locally Lipschitz). The concept of Fréchet approximate Jacobian matrices for a continuous vector function is exploited. Finally, some examples of applications are shown.

MSC:

49J40 Variational inequalities
49J52 Nonsmooth analysis
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