Geodesic
Lipshitz retractions and the operator of generalized rational approximation
Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 4, pp. 1205-1220
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In this paper we consider two problems: the existence of Lipshitz retractions on curve in normed space and smoothness of the operators of generalized rational approximation. 
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     author = {C. S. Rjutin},
     title = {Lipshitz retractions and the~operator of generalized rational approximation},
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C. S. Rjutin. Lipshitz retractions and the operator of generalized rational approximation. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 4, pp. 1205-1220. http://geodesic.mathdoc.fr/item/FPM_2000_6_4_a15/