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Convergence Theorems for Best Approximations in a Nonreflexive Banach Space

โœ Scribed by Jian-Hua Wang

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
225 KB
Volume
93
Category
Article
ISSN
0021-9045

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โœฆ Synopsis

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 using Wijsman convergence of sets.

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