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On finite and strong convergence of a proximal method for equilibrium problems

Abstract : We introduce the notions of conditioning and well-posedness for equilibrium problems. Using these concepts, we obtain finite and strong convergence results for the proximal method that improve, develop, and unify several theorems in optimization and nonlinear analysis.
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https://hal.univ-antilles.fr/hal-00779994
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Submitted on : Tuesday, January 22, 2013 - 9:27:34 PM
Last modification on : Monday, May 23, 2022 - 2:06:49 PM

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Abdellatif Moudafi. On finite and strong convergence of a proximal method for equilibrium problems. Numerical Functional Analysis and Optimization, Taylor & Francis, 2007, 28 (11-12), pp.1347-1354. ⟨10.1080/01630560701766684⟩. ⟨hal-00779994⟩

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