Chebyshev centers and some geometric properties of Banach spaces

Lalithambigai, S and Paul, Tanmoy and Shunmugaraj, P and Thota, V (2017) Chebyshev centers and some geometric properties of Banach spaces. Journal of Mathematical Analysis and Applications, 449 (1). pp. 926-938. ISSN 0022-247X

Full text not available from this repository. (Request a copy)

Abstract

In this paper, we study two properties (P1)(P1) and (P2)(P2) introduced in the literature for studying the existence and stability of relative Chebyshev centers. We reformulate these properties in a way that leads naturally to our results. We mainly relate these properties with some geometric properties of Banach spaces. In particular, reflexive spaces having the Kadec-Klee property are characterized in terms of property (P1)(P1) and uniform convexity is characterized in terms of property (P2)(P2). Some continuity results for the center map are also presented.

[error in script]

IITH Creators:	IITH Creators ORCiD Paul, Tanmoy http://orcid.org/0000-0002-2043-3888
Item Type:	Article
Uncontrolled Keywords:	Chebyshev centers; Kadec-Klee property; Set valued mappings; Uniformly convex
Subjects:	Mathematics
Depositing User:	Team Library
Date Deposited:	22 Dec 2016 11:13
Last Modified:	14 Jan 2019 09:38
URI:	http://raiithold.iith.ac.in/id/eprint/2937
Publisher URL:	httpS://doi.org/10.1016/j.jmaa.2016.12.026
OA policy:	http://www.sherpa.ac.uk/romeo/issn/0022-247X/
Related URLs:	Google Scholar

Actions (login required)

View Item

Statistics for this ePrint Item