Convexity and best approximation in Banach spaces

被引：0
|
作者：
Uday Shankar Chakraborty
机构：
[1] Assam University,Department of Mathematics
来源：
Rendiconti del Circolo Matematico di Palermo Series 2 | 2022年 / 71卷
关键词：
Nearly strongly convex; Very convex; Approximatively compact; Approximatively weakly compact; Proximinal; E-proximinal; Strongly Chebyshev; -strongly Chebyshev; Primary 41A65; Secondary 46B20;
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中图分类号：
学科分类号：
摘要：
In this paper, we present some characterizations of nearly strongly convex and very convex spaces in terms of best approximation theoretic properties of Banach spaces. We also study E-proximinality of subsets of Banach spaces and show that E-proximinality of every closed convex subset of a Banach space is equivalent to the reflexive property of the space.
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页码：247 / 258
页数：11
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