Birkhoff-Kellogg theorems on invariant directions for multimaps

Abstract and Applied Analysis

Volumn 2003, Issue 7, 2003, Pages 435-448

  Agarwal, Ravi P ^a   O'Regan, Donal ^b  

^a Florida Institute of Technology   (United States)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1842449600     PISSN: 10853375     EISSN: None     Source Type: Journal    
DOI: 10.1155/S1085337503205030     Document Type: Article

References (17)

1. R. P. Agarwal and D. O'Regan, Homotopy and normalization properties for admissible maps, to appear.
2. _, Multivalued essential maps of approximate and acyclic type, Appl. Math. Lett. 13 (2000), no. 1, 7-11.
3. _, Continuation theorems for countably condensing maps, Nonlinear Funct. Anal. Appl. 6 (2001), no. 1, 1-18.
4. _, Homotopy and Leray-Schauder principles for multimaps, Nonlinear Analysis Forum 7 (2002), 103-111.
5. R. P. Agarwal, D. O'Regan, and S. Park, Fixed point theory for multimaps in extension type spaces, J. Korean Math. Soc. 39 (2002), no. 4, 579-591.
6. H. Ben-El-Mechaiekh and P. Deguire, Approachability and fixed points for nonconvex set-valued maps, J. Math. Anal. Appl. 170 (1992), no. 2, 477-500.
7. Y. Benyamini and Y. Sternfeld, Spheres in infinite-dimensional normed spaces are Lipschitz contractible, Proc. Amer. Math. Soc. 88 (1983), no. 3, 439-445.
8. M. Furi and M. Martelli, A degree for a class of acyclic-valued vector fields in Banach spaces, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 1 (1974), 301-310.
9. K. Goebel and W. A. Kirk, Topics in Metric Fixed Point Theory, Cambridge Studies in Advanced Mathematics, vol. 28, Cambridge University Press, Cambridge, 1990.
10. L. Gorniewicz and M. Slosarski, Topological essentiality and differential inclusions, Bull. Austral. Math. Soc. 45 (1992), no. 2, 177-193.
11. K-admissible maps of Park, to appear in Math. Proc. Royal Irish Academy.
12. k-admissible maps of Park, Appl. Anal. 79 (2001), no. 1-2, 173-185.
13. _, A unified fixed point theory for countably P-concentrative multimaps, Appl. Anal. 81 (2002), no. 3, 565-574.
14. S. Park, Generalized Leray-Schauder principles for condensing admissible multifunctions, Ann. Mat. Pura Appl. (4) 172 (1997), 65-85.
15. _, A unified fixed point theory of multimaps on topological vector spaces, J. Korean Math. Soc. 35 (1998), no. 4, 803-829.
16. S. Park and K. S. Jeong, The Leray-Schauder principles for condensing approximable and other multimaps, Nonlinear Anal. Forum 4 (1999), 157-173.
17. S. Reich, A remark on set-valued mappings that satisfy the Leray-Schauder condition, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 61 (1976), no. 3-4, 193-194.