J Austral Math Soc Ser B 36 pp274--285, 1995.

Smoothing approximations to nonsmooth optimization problems

X. Q. Yang

(Received 19 May 1993; revised 13 August 1993)

Abstract

We study certain types of composite nonsmooth minimization problems by introducing a general smooth approximation method. Under various conditions we derive bounds on error estimates of the functional values of original objective function at an approximate optimal solution and at the optimal solution. Finally, we obtain second-order necessary optimality conditions for the smooth approximation problems using a recently introduced generalized second-order directional derivative.

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Author

X. Q. Yang: Department of Mathematics, University of Western Australia, Nedlands, W.A. 6009, Australia.

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Last Modified: Mon Dec 10 10:45:13 2001