Fixed point and continuation results for contractions in metric and gauge spaces

• Autorzy: M. Frigon
• Języki publikacji: EN

Abstrakty

EN

We present an overview of generalizations of Banach's fixed point theorem and continuation results for contractions, i.e., results establishing that the existence of a fixed point is preserved by suitable homotopies. We will consider single-valued and multi-valued contractions in metric and in gauge spaces.

Kategorie tematyczne

• 47H09: Contraction-type mappings, nonexpansive mappings, A -proper mappings, etc.
• 47H04: Set-valued operators
• 47H10: Fixed-point theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2007
• Tom: 77
• Numer: 1
• Strony: 89-114

Daty

wydano

2007

Twórcy

autor

M. Frigon

• Département de mathématiques et de statistique, Université de Montréal, C.P. 6128, succ. Centre-Ville, Montréal (Québec), H3C 3J7, Canada

Identyfikatory

DOI

10.4064/bc77-0-8