A Common Solution of a Family of Variational Inequalities

Alexander J. Zaslavski
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Alexander J. Zaslavski: The Technion – Israel Institute of Technology

Chapter Chapter 13 in Numerical Optimization with Computational Errors, 2016, pp 205-224 from Springer

Abstract: Abstract In a Hilbert space, we study the convergence of the subgradient method to a common solution of a finite family of variational inequalities and of a finite family of fixed point problems under the presence of computational errors. The convergence of the subgradient method is established for nonsummable computational errors. We show that the subgradient method generates a good approximate solution, if the sequence of computational errors is bounded from above by a constant.

Keywords: Variational Inequalities; Common Solution; Computational Errors; Fixed Point Problem; Subgradient Method (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-30921-7_13

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DOI: 10.1007/978-3-319-30921-7_13

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