Ekeland's variational principle in Fréchet spaces and the density of extremal points

• Autorzy: J. H. Qiu
• Języki publikacji: EN

Abstrakty

EN

By modifying the method of Phelps, we obtain a new version of Ekeland's variational principle in the framework of Fréchet spaces, which admits a very general form of perturbations. Moreover we give a density result concerning extremal points of lower semicontinuous functions on Fréchet spaces. Even in the framework of Banach spaces, our result is a proper improvement of the related known result. From this, we derive a new version of Caristi's fixed point theorem and a density result for Caristi fixed points.

Kategorie tematyczne

• 49J45: Methods involving semicontinuity and convergence; relaxation
• 46A04: Locally convex Fr\'echet spaces and (DF)-spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 168
• Numer: 1
• Strony: 81-94

Daty

wydano

2005

Twórcy

autor

J. H. Qiu

• Department of Mathematics, Suzhou University, Suzhou, Jiangsu 215006, People's Republic of China

Identyfikatory

DOI

10.4064/sm168-1-6