Geodesic
On the Element of Best Nonsymmetric Approximation in Spaces with Nonsymmetric Quasinorm
Matematičeskie zametki, Tome 74 (2003) no. 6, pp. 902-912

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In this paper, we prove an existence theorem for the element of best nonsymmetric approximation in spaces with nonsymmetric quasinorm. Examples showing the importance of the conditions embodied in the theorem are presented. A criterion for determining the element of best nonsymmetric approximation is given. 
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     author = {B. V. Simonov},
     title = {On the {Element} of {Best} {Nonsymmetric} {Approximation} in {Spaces} with {Nonsymmetric} {Quasinorm}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {902--912},
     publisher = {mathdoc},
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     number = {6},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2003_74_6_a10/}
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B. V. Simonov. On the Element of Best Nonsymmetric Approximation in Spaces with Nonsymmetric Quasinorm. Matematičeskie zametki, Tome 74 (2003) no. 6, pp. 902-912. http://geodesic.mathdoc.fr/item/MZM_2003_74_6_a10/