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An Inexact Proximal Method for Quasiconvex Minimization

Erik Papa Quiroz (erikpapa***at***gmail.com)
Lennin Mallma Ramirez (lenninmr***at***gmail.com)
Paulo Roberto Oliveira (poliveir***at***cos.ufrj.br)

Abstract: In this paper we propose an inexact proximal point method to solve constrained minimization problems with locally Lipschitz quasiconvex objective functions. Assuming that the function is also bounded from below, lower semicontinuous and using proximal distances, we show that the sequence generated for the method converges to a stationary point of the problem.

Keywords: Clarke subdifferential, proximal point methods, quasiconvex functions, constrained minimization, proximal distances.

Category 1: Global Optimization

Category 2: Nonlinear Optimization

Citation: July 2013

Download: [Postscript][PDF]

Entry Submitted: 07/07/2013
Entry Accepted: 08/01/2013
Entry Last Modified: 01/10/2015

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