Proximal Point Type Algorithms with Relaxed and Inertial Effects Beyond Convexity - Archive ouverte HAL
Journal Articles Optimization Year : 2024

Proximal Point Type Algorithms with Relaxed and Inertial Effects Beyond Convexity

Abstract

We show that the recent relaxed-inertial proximal point algorithm due to Attouch and Cabot remains convergent when the function to be minimized is not convex, being only endowed with certain generalized convexity properties. Numerical experiments showcase the improvements brought by the relaxation and inertia features to the standard proximal point method in this setting, too.
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hal-04431856 , version 1 (01-02-2024)

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Sorin-Mihai Grad, Felipe Lara, Raul Tintaya Marcavillaca. Proximal Point Type Algorithms with Relaxed and Inertial Effects Beyond Convexity. Optimization, 2024, pp.1-18. ⟨10.1080/02331934.2024.2329779⟩. ⟨hal-04431856⟩
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