Strong Convergence in Hilbert Spaces via Γ-Duality

M. Marques Alves () and J. G. Melo ()
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M. Marques Alves: Universidade Federal de Santa Catarina
J. G. Melo: Universidade Federal de Goiás

Journal of Optimization Theory and Applications, 2013, vol. 158, issue 2, No 3, 343-362

Abstract: Abstract We analyze a primal-dual pair of problems generated via a duality theory introduced by Svaiter. We propose a general algorithm and study its convergence properties. The focus is a general primal-dual principle for strong convergence of some classes of algorithms. In particular, we give a different viewpoint for the weak-to-strong principle of Bauschke and Combettes and unify many results concerning weak and strong convergence of subgradient type methods.

Keywords: Γ-Duality; Hilbert spaces; Convex feasibility; Strong convergence; Subgradient method (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-012-0253-9

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