Continuous mappings in compact hyperconvex metric spaces

Numerical Functional Analysis and Optimization

Volumn 17, Issue 5-6, 1996, Pages 599-603

  Kirk, W A ^a  

^a UNIVERSITY OF IOWA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001252908     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1080/01630569608816713     Document Type: Article

References (13)

1. N. Aronszajn and P. Panitchpakdi, Extensions of uniformly continuous transformations and hyperconvex metric spaces, Pacific J. Math. 6(1956), 405-439.
2. J. B. Baillon, Nonexpansive mappings and hyperconvex spaces, Fixed Point Theory and its Applications (R. F. Brown, ed), Contemporary Math. 72(1988), 11-19.
3. J. R. Isbell, Six theorems about injective metric spaces, Comment. Math. Helvetici 39(1964), 439-447.
4. K. -U. Jahn, Maximale Fixpunkte von Intervallfunktionen, Computing 33(1984), 141-151.
5. J. L. Kelley, Banach spaces with the extension property, Trans. Amer. Math. Soc. 72(1952).
6. M. A. Khamsi, KKM and Ky Fan theorems in hyperconvex metric spaces, J. Math. Anal. Appl., to appear.
7. K. Kuratowski, Topologie II, Warsaw, 1950.
8. H. E. Lacey, The isometric theory of classical Banach spaces, Springer-Verlag, Berlin, Heidelberg, New York, 1974.
9. R. Moore, Methods and Applications of Interval Analysis, SIAM Studies in Applied Mathematics, SIAM, Philadelphia, 1979.
10. L. Nachbin, A theorem of Hahn-Banach type for linear transformations, Trans. Amer. Math. Soc. 68(1950), 28-46.
11. R. Sine, Hyperconvexity and approximate fixed points, Nonlinear Analysis: Theory, Methods & Applications 13(1989), 863-869.
12. F. Sullivan, Ordering and completeness of metric spaces, Nieuw Arch. Wisk. 24(1981), 178-193.
13. E. Zeidler, Nonlinear Functional Analysis and its Applications I: Fixed Point Theorems, Springer Verlag, New York, Berlin, Heidelberg, Tokyo, 1986.