✦ LIBER ✦

Best Approximation on Convex Sets in Metric Linear Spaces

✍ Scribed by G. C. Ahuja; T. D. Narang; Swaran Trehan

Publisher: John Wiley and Sons
Year: 1977
Tongue: English
Weight: 256 KB
Volume: 78
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19770780110

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

In this paper the concepts of strictly convex and uniformly convex normed linear spaces are extended to metric linear spaces. A relationship between strict convexity and uniform convexity is established. Some existence and uniqueness theorems on best approximation in metric linear spaces under different conditions are proved.

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