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 language||American English|
|Number of pages||9|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|State||Published - 1 Jan 2012|