Integral rigid sets and periods of nonexpansive maps

Indagationes Mathematicae

Volumn 10, Issue 3, 1999, Pages 437-447

  Lemmens, Bas ^a  

^a VU UNIVERSITY AMSTERDAM   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033610210     PISSN: 00193577     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0019-3577(99)80034-2     Document Type: Article

References (10)

1. Akcoglu, M. A. and U. Krengel - Nonlinear models of diffusion on a finite space. Prob. Th. Rel. Fields 76, 411-420 (1987).
2. Hoffman, A.J. and J.B. Kruskal - Integral boundary points of convex polyhedra, in: Linear Inequalities and Related Systems. Princeton Univ. Press, Princeton, N.J., 223-246 (1956).
3. Lyons, R. and R.D. Nussbaum - On transitive and commutative finite groups of isometries, in: Fixed Point Theory and Applications, (K.-K. Tan, ed.). World Scientific, Singapore, 189-228 (1992).
4. Martus, P. - Asymptotic Properties of Nonstationary Operator Sequences in the Nonlinear Case. Ph.D. dissertation, Friedrich-Alexander Univ., Erlangen-Nürnberg (1989).
5. 1 -spaces. Report. Mathematica GöttinGensis Schriftenreihe des Sonderforschungsbereichs Geometrie und Analysis, Heft 45 (1987).
6. Nussbaum, R.D. - Omega limit sets of nonexpansive maps: Finiteness and cardinality estimates. Diff. Integral Equations 3, 523-540 (1990).
7. Nussbaum, R.D. - Estimates of the periods of periodic points of nonexpansive operators. Israel J. Math. 76, 345-380 (1991).
8. Nussbaum, R.D., M. Scheutzow and S.M. Verduyn Lunel - Periodic points of nonexpansive maps and nonlinear generalizations of the Perron-Frobenius theory. Sel. Math. New Ser. 4, 1-41 (1998).
9. Nussbaum, R.D. and S.M. Verduyn Lunel - Generalizations of the Perron-Frobenius theorem for nonlinear maps. Memoirs of the American Mathematical Society 138 (1999), number 659, 1-98.
10. Schrijver, A. - Theory of Linear and Integer Programming. John Wiley & Sons, Chichester (1986).