Convergence of diagonally stationary sequences in convex optimization |
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Authors: | M A Bahraoui and B Lemaire |
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Institution: | (1) Université des Sciences et Techniques du Languedoc Place E. Bataillon, 34095 Montpellier Cedex 5, France |
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Abstract: | LetX be a real normed linear space,f, f
n, n , be extended real-valued proper closed convex functions onX. A sequence {x
n} inX is called diagonally stationary for {f
n} if for alln there existsx*
n f
n (x
n) such that x*
n * 0. Such sequences arise in approximation methods for the problem of minimizingf. Some general convergence results based upon variational convergence theory and appropriate equi-well-posedness are presented. |
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Keywords: | 65K10 90C25 |
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