Regularity and stability for the mathematical programming problem in Banach spaces
Tóm tắt
Từ khóa
Tài liệu tham khảo
Aubin, J. P., and Clarke, F. H.: Multiplicateurs de Lagrange en optimisation non convexe et applications,C. R. Acad. Sc. Paris, Série A, 285, 451?454 (1977).
Dugundji, J.:Topology, Allyn and Bacon, Boston-London-Sydney-Toronto, 1966.
Gauvin, J., and Tolle, J. W.: Differential stability in nonlinear programming,SIAM Journal of Control and Optimization 15, 294?311 (1977).
Krein, M. G., and Rutman, M.: Linear operators leaving invariant a cone in a Banach space,Uspehi Mat. Nauk. SSSR, 3, 3?95 (1948).
Kurcyusz, S.: On the existence and nonexistence of Lagrange multipliers in Banach spaces,Journal of Optimization Theory and Applications, 20, 81?110 (1976).
Robinson, S. M.: Normed convex processes,Transactions of the American Mathematical Society, 174, 127?140 (1972).
Robinson, S. M.: Stability theory for systems of inequalities in nonlinear programming, part II: differentiable nonlinear systems,SIAM Journal of Numerical Analysis, 13, 497?513 (1976).
Schaefer, H. H.:Topological vector spaces, MacMillan, New York, 1966.