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Generalized property in a hyperconvex metric space and its applications

✍ Scribed by Tong-Huei Chang; Chi-Ming Chen; Chao-Hung Chen

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
487 KB
Volume
72
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Generalized KKM theorems on hyperconvex
Generalized KKM theorems on hyperconvex metric spaces and some applications
✍ Tong-Huei Chang; Chi-Ming Chen; Chin-Yueh Peng πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 207 KB

In this work, we establish the intersection property for a family of admissible subsets in a hyperconvex metric space, and we apply this intersection property to get generalized KKM theorems, coincidence theorems, variational inequality theorems and minimax inequality theorems.

Some applications of the Knaster-Kuratow
Some applications of the Knaster-Kuratowski and Mazurkiewicz principle in hyperconvex metric spaces
✍ E. Tarafdar; G.Xian-Zhi Yuan πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 974 KB

this paper, as applications of the Knsster-Kuratowski and Mazurkiewicz principle in the hyperconvex version, we obtain the Ky Fan type matching theorems for closed and open covers. As applications, some intersection theorems which are hyperconvex versions of corresponding results due to Alexandroff