Quantitative asymptotic regularity of the VAM iteration with error terms for -accretive operators in Banach spaces

  • Paulo Firmino

    Universidade de Lisboa, Lisboa, Portugal
  • Laurenţiu Leuştean

    University of Bucharest, Bucharest, Romania; Simion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest, Romania; Institute for Logic and Data Science, Bucharest, Romania
Quantitative asymptotic regularity of the VAM iteration with error terms for $m$-accretive operators in Banach spaces cover

A subscription is required to access this article.

Abstract

In this paper, we obtain, by using proof mining methods, quantitative results on the asymptotic regularity of the viscosity approximation method (VAM) with error terms for -accretive operators in Banach spaces. For concrete instances of the parameter sequences, linear rates are computed by applying a lemma due to Sabach and Shtern.

Cite this article

Paulo Firmino, Laurenţiu Leuştean, Quantitative asymptotic regularity of the VAM iteration with error terms for -accretive operators in Banach spaces. Z. Anal. Anwend. (2024), published online first

DOI 10.4171/ZAA/1772