Missouri Journal of Mathematical Sciences

New Type of Simultaneous Remotal Sets in Certain Banach Spaces

Sh. Al-Sharif and A. Awad

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In this paper, we introduce a new concept of simultaneous remotal sets and farthest points in Banach spaces and we present various characterizations of such points in certain Banach spaces.

Article information

Missouri J. Math. Sci., Volume 30, Issue 1 (2018), 45-53.

First available in Project Euclid: 16 August 2018

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 46B20: Geometry and structure of normed linear spaces
Secondary: 41A65: Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)

best approximation remotal set extremal point


Al-Sharif, Sh.; Awad, A. New Type of Simultaneous Remotal Sets in Certain Banach Spaces. Missouri J. Math. Sci. 30 (2018), no. 1, 45--53. doi:10.35834/mjms/1534384952. https://projecteuclid.org/euclid.mjms/1534384952

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