Best Approximation by Upward Sets


Authors

Zeinab Soltani - Department of Mathematics, Faculty of Scinence, Yasouj University, Yasouj, Iran. Hamid Reza Goudarzi - Department of Mathematics, Faculty of Scinence, Yasouj University, Yasouj, Iran.


Abstract

In this paper we prove some results on upward subsets of a Banach lattice \(X\) with a strong unit. Also we study the best approximation in \(X\) by elements of upward sets, and we give the necessary and sufficient conditions for any element of best approximation, by a closed subset of \(X\).


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ISRP Style

Zeinab Soltani, Hamid Reza Goudarzi, Best Approximation by Upward Sets, Journal of Mathematics and Computer Science, 14 (2015), no. 4, 345-353

AMA Style

Soltani Zeinab, Goudarzi Hamid Reza, Best Approximation by Upward Sets. J Math Comput SCI-JM. (2015); 14(4):345-353

Chicago/Turabian Style

Soltani, Zeinab, Goudarzi, Hamid Reza. "Best Approximation by Upward Sets." Journal of Mathematics and Computer Science, 14, no. 4 (2015): 345-353


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