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Weak Type Inequalities for Best Simultaneous Approximation in Banach Spaces

โœ Scribed by Stefan Jansche

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
313 KB
Volume
101
Category
Article
ISSN
0021-9045

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โœ Jian-Hua Wang ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 225 KB

In this paper, we study continuity properties of the mapping P: (x, A) ร„ P A (x) in a nonreflexive Banach space where P A is the metric projection onto A. Our results extend the existing convergence theorems on the best approximations in a reflexive Banach space to nonreflexive Banach spaces by usin