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November 2013 On Generalized Simultaneous Nearest Point in Normed Spaces
M. Rawashdeh, S. Al-Sharif, S. Khalil
Missouri J. Math. Sci. 25(2): 167-176 (November 2013). DOI: 10.35834/mjms/1384266201

Abstract

In this paper, we study the problem of generalized simultaneous approximation in terms of the Minkowski functional. We develop a theory of generalized best simultaneous approximation in quotient spaces and introduce equivalent assertions between the subspaces $W$ and $W+M$ and the quotient space $W/M$. Some other results regarding generalized simultaneous approximation in Banach space are presented.

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M. Rawashdeh. S. Al-Sharif. S. Khalil. "On Generalized Simultaneous Nearest Point in Normed Spaces." Missouri J. Math. Sci. 25 (2) 167 - 176, November 2013. https://doi.org/10.35834/mjms/1384266201

Information

Published: November 2013
First available in Project Euclid: 12 November 2013

zbMATH: 1284.41012
MathSciNet: MR3161632
Digital Object Identifier: 10.35834/mjms/1384266201

Subjects:
Primary: 41A65
Secondary: 41A50

Rights: Copyright © 2013 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.25 • No. 2 • November 2013
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