Critical points for vector-valued functions

• Autorzy: Lucchetti R. , Revalski J. , Thera M.
• Języki publikacji: EN

Abstrakty

EN

This paper contains a mountain pass theorem for continuous mappings, defined on a complete metric space and taking values in a real Banach space, ordered by a closed convex cone. We use the concept of critical point introduced by Degiovanni, Lucchetti and Ribarska, and we furnish a variant of their result, allowing for a localization both of the critical point and of the critical value.

Słowa kluczowe

EN

critical point; mountain pass theorem; Palais-Smale condition; Pareto optimum; weak slope

PL

nachylenie słabe; optimum Pareto; punkt krytyczny

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2002
• Tom: Vol. 31, no 3
• Strony: 545--555
• Opis fizyczny: Bibliogr. 16 poz.,

Twórcy

autor

Lucchetti R.

autor

Revalski J.

autor

Thera M.