Abstract

Conditions are given ensuring the stability of the classical duality scheme of Ekeland-Temam-Rockafellar with respect to the slice topology (a generalization of the Mosco topology to the non reflexive setting). Both primal and dual aspect are tackled allowing convergence of primal solutions along with the Lagrange multipliers. An example of application is given to optimal control of distributed parameter systems.

Author information

Contact details are reproduced from the original publication and may be historical.

Dominique Azé

Département de Mathématiques, Université de Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan cedex, France.

Abdelouahed Rahmouni

Département de Mathématiques, Université de Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan cedex, France.

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Suggested citation

D. Azé, A. Rahmouni. “On Primal-Dual Stability in Convex Optimization.” Journal of Convex Analysis 3 (1996), No. 2, 309–327. https://doi.org/10.68381/jca03021

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Published by Heldermann Verlag, 1996. Rights now held by Banach Press.