Some New Asymptotic Fixed Point Theorems | Zendy

Felix E. Browder | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Some New Asymptotic Fixed Point Theorems

Author(s) -

Felix E. Browder

Publication year - 1974

Publication title -

proceedings of the national academy of sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 5.011

H-Index - 771

eISSN - 1091-6490

pISSN - 0027-8424

DOI - 10.1073/pnas.71.7.2734

Subject(s) - mathematics , fixed point , fixed point theorem , fixed point property , compact space , closure (psychology) , kakutani fixed point theorem , regular polygon , pure mathematics , attractor , schauder fixed point theorem , locally compact space , point (geometry) , mathematical analysis , brouwer fixed point theorem , geometry , economics , market economy

For a continuous self mapping f of a locally convex topological vector space which is locally compact (i.e., f maps a neighborhood of each point into a relatively compact set), it is shown that a sufficient condition for the existence of a fixed point is the existence of a compact attractor K(0) such that each orbit under f has a point of K(0) in its closure. The proof is based upon the circle of ideas of the Lefschetz fixed point theorem.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research