Ekeland's variational principle in locally p-convex spaces and related results

• Autorzy: J. H. Qiu , S. Rolewicz
• Języki publikacji: EN

Abstrakty

EN

In the framework of locally p-convex spaces, two versions of Ekeland's variational principle and two versions of Caristi's fixed point theorem are given. It is shown that the four results are mutually equivalent. Moreover, by using the local completeness theory, a p-drop theorem in locally p-convex spaces is proven.

Kategorie tematyczne

• 46A16: Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.)
• 49J53: Set-valued and variational analysis
• 47H10: Fixed-point theorems
• 49J40: Variational methods including variational inequalities

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 186
• Numer: 3
• Strony: 219-235

Daty

wydano

2008

Twórcy

autor

J. H. Qiu

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

autor

S. Rolewicz

• Institute of Mathematics, Polish Academy of Sciences, P.O. Box 21, Śniadeckich 8, 00-956 Warszawa, Poland

Identyfikatory

DOI

10.4064/sm186-3-2