Generation of space-filling uniform designs in unit hypercubes
β Scribed by Ismael S. Talke; John J. Borkowski
- Book ID
- 118481179
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 332 KB
- Volume
- 142
- Category
- Article
- ISSN
- 0378-3758
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π SIMILAR VOLUMES
We are given a two-dimensional square grid of size N x N, where N := 2" and n > 0. A space Ming curve (SFC) is a numbering of the cells of this grid with numbers from c + 1 to c +N2, for some c>,O. We call a SFC recursive (RSFC) if it can be recursively divided into four square RSFCs of equal size.
In this paper, by using a KKM type theorem in FC-space, a new Himmelberg type fixed point theorem for compact and closed set-valued mappings and an existence theorem for equilibrium points for a generalized game in locally FC-uniform spaces without any convexity structure are proved for the first ti