[1]

J.–P. Aubin and I. Ekeland, *Applied Nonlinear Analysis* (Wiley, 1984).

[2]

L. Barbet, Stability and differential sensitivity of optimal solutions of parameterized variational inequalities in infinite dimensions, in: *Parametric Optimization and Related Topics 9* (Akademie–Verlag, 1995) pp. 25–41.

[3]

J.F. Bonnans and R. Cominetti, Perturbed optimization in Banach spaces I: A general theory based on a weak directional constraint qualification, SIAM J. Control and Optimization 34 (1996) 1151–1171.

[4]

J.R. Bonnans, R. Cominetti and A. Shapiro, Second order optimality conditions based on parabolic second order tangent sets, SIAM J. Optimization 9 (1999) 466–492.

[5]

R. Cominetti, On pseudo–differentiability, Transactions of the American Mathematical Society 324 (1991) 843–865.

[6]

A. Haraux, How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities, J. Math. Soc. Japan 29 (1977) 615–631.

[7]

A.D. Ioffe, Variational analysis of a composite function: A formula for the lower second–order epiderivative, Journal of Mathematical Analysis and Applications 160 (1991) 379–405.

[8]

A.B. Levy, Sensitivity of solutions to variational inequalities on Banach spaces, SIAM J. Control and Optimization 38 (1999) 50–60.

[9]

A.B. Levy, R. Poliquin and L. Thibault, Partial extensions of Attouch's theorem with application to proto–derivatives of subgradient mappings, Transactions of the American Mathematical Society 347 (1995) 1269–1294.

[10]

F. Mignot, Contrôle dans les inéquations variational elliptiques, Journal of Functional Analysis 22 (1976) 130–185.

[11]

R.T. Rockafellar, First–and second–order epi–differentiability in nonlinear programming, Transactions of the American Mathematical Society 307 (1988) 75–107.

[12]

R.T. Rockafellar, Second–order optimality conditions in nonlinear programming obtained by way of epi–derivatives, Mathematics of Operations Research 14 (1989) 462–484.

[13]

R.T. Rockafellar and R.J.B. Wets, *Variational Analysis* (Springer, 1998).

[14]

M. Torki, First–and second–order epi–differentiability in eigenvalue optimization, Journal of Mathematical Analysis and Applications 234 (1999) 391–416.