On variational inequalities and nonlinear programming problem

Vsevolod I. Ivanov · Studia Scientiarum Mathematicarum Hungarica · 2008

In this paper the Stampacchia variational inequality, the Minty variational inequality, and the respective nonlinear programming problem are investigated in terms of the lower Dini directional derivative. We answer the questions which are the largest classes of functions such that the solution sets of each pair of these problems coincide.

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