Minimax Theory and its Applications 09 (2024), No. 2, 421--432
Copyright Heldermann Verlag 2024
Stability of the Asymptotic Behavior for Continuous Descent Methods with a Convex Objective Function
Alexander J. Zaslavski
Department of Mathematics, The Technion -- Israel Institute of Technology, Haifa, Israel
ajzasl@technion.ac.il
We study continuous descent methods for the minimization of a convex objective function and obtain convergence results for those methods which are generated by approximations of regular vector fields. These results improve convergence results known in the literature.
Keywords: Banach space, complete metric space, convex function, descent method, regular vector field.
MSC: 37L99, 47J35, 49M37, 90C25, 90C30.
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