Proximal point method for minimizing quasiconvex locally Lipschitz functions on Hadamard manifolds

E. A. Papa Quiroz, P. R. Oliveira

Research output: Contribution to journalArticle

18 Scopus citations

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.
Original languageAmerican English
Pages (from-to)5924-5932
Number of pages9
JournalNonlinear Analysis, Theory, Methods and Applications
DOIs
StatePublished - 1 Jan 2012
Externally publishedYes

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