Zamfirescu, Tudor Extending Stechkin’s theorem and beyond. (English) Zbl 1100.41020 Abstr. Appl. Anal. 2005, No. 3, 255-258 (2005). Summary: We generalize Stechkin’s theorem about the single-valuedness of the nearest point mapping at most points to any complete length space without bifurcating geodesics and make further observations. Cited in 7 Documents MSC: 41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) 54E52 Baire category, Baire spaces × Cite Format Result Cite Review PDF Full Text: DOI EuDML