Kohlenbach and the author have extracted a rate of metastability for approximate curves associated to continuous pseudocontractive self-mappings in Banach spaces which are uniformly convex and uniformly smooth, whose convergence is due to Reich. In this note, we show that this result may be extended to Reich's original convergence statement involving resolvents of accretive operators.Comment: arXiv admin note: text overlap with arXiv:1812.0494
This thesis investigates some effective and quantitative aspects of metric fixed point theory in the...
AbstractLet T be a Lipschitzian pseudocontractive self-mapping of a closed convex and bounded subset...
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This thesis investigates some effective and quantitative aspects of metric fixed point theory in the...
AbstractLet T be a Lipschitzian pseudocontractive self-mapping of a closed convex and bounded subset...
This article considers a class of metastable non-reversible diffusion processes whose invariant meas...
Abstract. We extract rates of convergence and rates of metastability (in the sense of Tao) for conve...
We present the first applications of proof mining to the theory of partial differential equations as...
We present the first applications of proof mining to the theory of partial differential equations as...
The ongoing program of `proof mining' aims to extract new, quantitative information in the form of b...
In this paper, we use techniques which originate from proof mining to give rates of asymptotic regul...
We provide in a unified way quantitative forms of strong convergence results for numerous iterative ...
The dominated convergence theorem implies that if (fn) is a sequence of functions on a probability s...
AbstractThis paper is another case study in the program of logically analyzing proofs to extract new...
We establish the convergence of pseudospectra in Hausdorff distance for closed operators acting in d...
AbstractLet E be a real q-uniformly smooth Banach space which is also uniformly convex (for example,...
In this survey we present some recent applications of proof mining to the fixed point theory of (asy...
International audienceThis article is concerned with the numerical solution of subspace optimization...
This thesis investigates some effective and quantitative aspects of metric fixed point theory in the...
AbstractLet T be a Lipschitzian pseudocontractive self-mapping of a closed convex and bounded subset...
This article considers a class of metastable non-reversible diffusion processes whose invariant meas...