Abstract and Applied Analysis
Volume 2005 (2005), Issue 3, Pages 255-258
Extending Stechkin's theorem and beyond
Department of Mathematics, University of Dortmund, Dortmund 44221, Germany
Received 24 November 2003
Copyright © 2005 Tudor Zamfirescu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.