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Remarks on a generalization of Dini implicit function theorem
No full textDepartment of Mathematics, University of Pis
On the image regularity conditions
No full textIn this paper we continue the analysis of the image
regularity condition (IRC) as introduced in a previous paper where we have proved
that IRC implies the existence of generalized Lagrange-John multipliers with first component equal to .
The term generalized is connected with the fact that the separation (in the image space)
is not necessarily linear (when we have classic Lagrange-John multipliers), but it can be also not linear.
Here, we prove that the IRC guarantees, also in the nondifferentiable case, the fact that is a solution
of the first-order homogeneized (linearized) problem obtained by means of the Dini-Hadamard derivatives
On the connections between optimality conditions, variational inequalities and equilibrium problems
No full text- …
