A Class of Nonsmooth Convex Optimization Problems

Alexander J. Zaslavski
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Alexander J. Zaslavski: Technion - Israel Institute of Technology

Chapter Chapter 9 in Optimization on Solution Sets of Common Fixed Point Problems, 2021, pp 311-397 from Springer

Abstract: Abstract In this chapter we study the convergence of the projected subgradient method for a class of constrained optimization problems in a Hilbert space. For this class of problems, an objective function is assumed to be convex but a set of admissible points is not necessarily convex. Our goal is to obtain an 𝜖-approximate solution in the presence of computational errors, where 𝜖 is a given positive number.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-78849-0_9

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DOI: 10.1007/978-3-030-78849-0_9

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