Higher-Order Variational Sets and Higher-Order Optimality Conditions for Proper Efficiency in Set-Valued Nonsmooth Vector Optimization

Author:

Khanh P. Q.,Tuan N. D.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Reference40 articles.

1. Mordukhovich, B.S.: The maximum principle in the problem of time-optimal response with nonsmooth constraints. J. Appl. Math. Mech. 40, 960–969 (1976)

2. Aubin, J.P.: Contingent derivatives of set-valued maps and existence of solutions to nonlinear inclusions and differentiable inclusion. In: Nachbin, L. (ed.) Mathematical Analysis and Applications, part A, pp. 160–229. Academic Press, New York (1981)

3. Penot, J.-P.: Differentiability relations and differential stability of perturbed optimization problems. SIAM J. Control Optim. 22, 529–551 (1984)

4. Ioffe, A.D.: Calculus of Dini subdifferentials of functions and contingent coderivatives of set-valued maps. Nonlinear Anal. Theory Meth. Appl. 8, 517–539 (1984)

5. Aubin, J.P., Frankowska, H.: Set-Valued Analysis. Birkhäuser, Boston (1990)

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