naa a22 4500 510760953 CHVBK 20180411083139.0 cr unu---uuuuu 180411e20130701xx s 000 0 eng 10.1007/s13163-011-0085-4 doi (NATIONALLICENCE)springer-10.1007/s13163-011-0085-4 On the metric projection onto φ -convex subsets of Hadamard manifolds [Elektronische Daten] [A. Barani, S. Hosseini, M. Pouryayevali] We introduce the concept of a φ-convex subset of a Hadamard manifold. Then we prove that for a φ-convex subset S of a Hadamard manifold M there exists an open set U containing S such that the metric projection is a single valued locally Lipschitz mapping onU. Revista Matemática Complutense, 2011 Convex sets nationallicence φ -convex sets nationallicence Limiting subdifferential nationallicence Hadamard manifolds nationallicence Barani A. Department of Mathematics, Lorestan University, P.O. Box 465, Khoramabad, Iran aut Hosseini S. Department of Mathematics, University of Isfahan, P.O. Box 81745-163, Isfahan, Iran aut Pouryayevali M. Department of Mathematics, University of Isfahan, P.O. Box 81745-163, Isfahan, Iran aut Revista Matemática Complutense Springer Milan 26/2(2013-07-01), 815-826 1139-1138 26:2<815 2013 26 13163 https://doi.org/10.1007/s13163-011-0085-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s13163-011-0085-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Barani A. Department of Mathematics, Lorestan University, P.O. Box 465, Khoramabad, Iran aut NATIONALLICENCE 700 1- Hosseini S. Department of Mathematics, University of Isfahan, P.O. Box 81745-163, Isfahan, Iran aut NATIONALLICENCE 700 1- Pouryayevali M. Department of Mathematics, University of Isfahan, P.O. Box 81745-163, Isfahan, Iran aut NATIONALLICENCE 773 0- Revista Matemática Complutense Springer Milan 26/2(2013-07-01), 815-826 1139-1138 26:2<815 2013 26 13163 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer