Fixed points of isometries on weakly compact convex sets
| dc.contributor.author | Lim, T. C. | en |
| dc.contributor.author | Lin, P. K. | en |
| dc.contributor.author | Petalas, C. | en |
| dc.contributor.author | Vidalis, T. | en |
| dc.date.accessioned | 2015-11-24T17:24:03Z | |
| dc.date.available | 2015-11-24T17:24:03Z | |
| dc.identifier.issn | 0022-247X | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/12838 | |
| dc.rights | Default Licence | - |
| dc.subject | weakly compact convex set | en |
| dc.subject | isometry | en |
| dc.subject | fixed point | en |
| dc.subject | uniformly convex banach space | en |
| dc.subject | mappings | en |
| dc.subject | theorem | en |
| dc.title | Fixed points of isometries on weakly compact convex sets | en |
| heal.abstract | In this paper, we prove that every isometry from a nonempty weakly compact convex set K into itself fixes a point in the Chebyshev center of K, provided K satisfies the hereditary fixed point property for isometrics. In particular, all isometries from a nonempty bounded closed convex subset of a uniformly convex Banach space into itself have the Chebyshev center as a common fixed point. (C) 2003 Elsevier Science (USA). All rights reserved. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.primary | Doi 10.1016/S0022-247x(03)00398-6 | - |
| heal.identifier.secondary | <Go to ISI>://000183616400001 | - |
| heal.identifier.secondary | http://ac.els-cdn.com/S0022247X03003986/1-s2.0-S0022247X03003986-main.pdf?_tid=5268ed10-ae50-11e2-bef7-00000aacb35d&acdnat=1366967258_78e7b329cb9d26ade2b236b7ea0e0dd4 | - |
| heal.journalName | Journal of Mathematical Analysis and Applications | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2003 | - |
| heal.publisher | Elsevier | en |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών | el |
| heal.type | journalArticle | - |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.type.en | Journal article | en |
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