Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-26T06:03:48.004Z Has data issue: false hasContentIssue false
  • English
  • Français

Approximation in function modules

Published online by Cambridge University Press:  17 April 2009

Fowzi Ahmed Sejeeni
Fowzi Ahmed Sejeeni
Affiliation:
Department of Mathematical Science, Umm Al Qura University, Makkah, Saudi Arabia
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We investigate the existence of best approximation of an element α in a function module from a subfunction module whose fibers satisfy the intersection property of balls. Also we investigate the lower semicontinuity of the metric projection associated with such a subfunction module.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 43 , Issue 2 , April 1991 , pp. 295 - 302
Copyright
Copyright © Australian Mathematical Society 1991

References

[1]Behrends, E., M-structure and the Banach Stone Theorem: Lecture Notes in Math. 736 (Springer-Verlag, New York, 1979).CrossRefGoogle Scholar
[2]Michael, E., ‘Continuous selection’, Ann. of Math. 63 (1956), 361–382.CrossRefGoogle Scholar