On the metric projection onto prox-regular subsets of Riemannian manifolds
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- by Seyedehsomayeh Hosseini and Mohamad R. Pouryayevali PDF
- Proc. Amer. Math. Soc. 141 (2013), 233-244 Request permission
Abstract:
Prox-regular subsets of Riemannian manifolds are introduced. A characterization of prox-regular sets based on the hypomonotonicity of the truncated limiting normal cone is obtained. Moreover, some properties of metric projection mapping and distance function corresponding to the prox-regular sets are presented.References
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Additional Information
- Seyedehsomayeh Hosseini
- Affiliation: Department of Mathematics, University of Isfahan, P. O. Box 81745-163, Isfahan, Iran
- Email: somayeh-hosseini@hotmail.com
- Mohamad R. Pouryayevali
- Affiliation: Department of Mathematics, University of Isfahan, P. O. Box 81745-163, Isfahan, Iran
- Email: pourya@math.ui.ac.ir
- Received by editor(s): December 18, 2010
- Published electronically: September 10, 2012
- Additional Notes: The second author was partially supported by the Center of Excellence for Mathematics, University of Shahrekord, Iran.
- Communicated by: Sergei K. Suslov
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 233-244
- MSC (2010): Primary 49J52, 58C06, 58C20
- DOI: https://doi.org/10.1090/S0002-9939-2012-11828-3
- MathSciNet review: 2988725