Book Chapter10.1007/BFB0061556
Fixed points of nonexpansive mappings and Chebyshev centers in Banach spaces with norms of type (KK)
D. van Dulst,Brailey Sims +1 more
- 01 Jan 1983
- pp 35-43
73
About: The article was published on 01 Jan 1983. The article focuses on the topics: Banach space & Fixed point.
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Citations
On Semi-Uniform Kadec-Klee Banach Spaces
Satit Saejung,Ji Gao +1 more
TL;DR: In this paper, a characterization for a certain direct sum of Banach spaces to be a semi-uniform Kadec-Klee space is given, which is a subclass of spaces with weak normal structure.
Normal Structure, Fixed Points and Related Parameters in Banach Spaces
TL;DR: The main result of as mentioned in this paper is that a Banach space X with uniform normal structure has a unit sphere unit sphere of X and four new parameters, ;,,,,, and, where,,.
4
On strong asymptotic uniform smoothness and convexity
Luis C. García-Lirola,M. Raja +1 more
TL;DR: The notion of strong asymptotic uniform smoothness and convexity was introduced by Kutzarova et al. as mentioned in this paper, who showed that the injective tensor product of a monotone FDD admits a strongly uniform smooth space.
3
Lim’s center and fixed-point theorems for isometry mappings
S. Rajesh,P. Veeramani +1 more
TL;DR: In this article, it was shown that the Chebyshev center of a convex set is not invariant under isometry mappings, even when the set has the hereditary fixed-point property (FPP).
3
The fixed point property in Musielak-Orlicz sequence spaces
H. B. Thompson,Yunan Cui +1 more
- 01 Jan 2001
TL;DR: In this article, necessary and sufficient conditions for a point in a Musielak-Orlicz sequence space equipped with the Orlicz norm to be an H-point were given.
3
References
A fixed point free nonexpansive map
Dale E. Alspach
- 01 Mar 1981
TL;DR: In this paper, a weakly compact convex subset of LJ[O, 11 that fails to have the fixed point property for nonexpansive maps is given, which answers a long-standing question which was recently raised again by S Reich [7]