Attracting sets for increasing co-radiant and topical operators

Mathematische Nachrichten

Volumn 243, Issue , 2002, Pages 134-145

  Kloeden, P E ^a   Rubinov, A M ^b  

^a GOETHE UNIVERSITY   (Germany)

^b UNIVERSITY OF BALLARAT   (Australia)

Author keywords

Attracting sets; Increasing co radiant operators; Non linear Perron Frobenius theorem; Topical operators

Indexed keywords

EID: 0036037751     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/1522-2616(200209)243:1<134::aid-mana134>3.0.co;2-%23     Document Type: Article

References (17)

1. An introduction to idempotency
2. A generalization of the Perron-Frobenius theorem
3. Perron's stability theorem for non-linear mappings
4. A Nonlinear extension of the Birkhoff-Jetzsch theorem
5. The Perron-Frobenius theorem without additivity
6. The many proofs and applications of Perron's theorem
7. Hilbert's projective metric and iterated nonlinear maps
8. Omega limit sets of nonexpansive maps: Finiteness and cardinality estimates
9. Some nonlinear weak ergodic theorem
10. Applications of Hilbert's projective metric to certain classes of non-homogeneous operators
11. A nonlinear Perron-Frobenius theorem
12. On certain contraction mappings in a partially ordered vector space