Title
Proximal point method for minimizing quasiconvex locally Lipschitz functions on Hadamard manifolds
Date Issued
01 January 2012
Access level
metadata only access
Resource Type
journal article
Publisher(s)
Elsevier Ltd
Abstract
In this paper we propose an extension of the proximal point method to solve minimization problems with quasiconvex locally Lipschitz objective functions on Hadamard manifolds. To reach this goal, we use the concept of Clarke subdifferential on Hadamard manifolds and assuming that the function is bounded from below, we prove the global convergence of the sequence generated by the method to a critical point of the function. © 2012 Elsevier Ltd. All rights reserved.
Start page
5924
End page
5932
Volume
75
Issue
15
Language
English
OCDE Knowledge area
Matemáticas
Scopus EID
2-s2.0-84871331691
Source
Nonlinear Analysis, Theory, Methods and Applications
ISSN of the container
0362546X
Sources of information: Directorio de Producción Científica Scopus