Rates of Convergence and Metastability for Chidume's Algorithm for the Approximation of Zeros of Accretive Operators in Banach Spaces

Richard Findling,Ulrich Kohlenbach

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION(2024)

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摘要
In this paper we give a quantitative analysis of an explicit iteration method due to C.E. Chidume for the approximation of a zero of an m-accretive operator A:X -> 2X in Banach spaces which does not involve the computation of the resolvent of A.
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关键词
Accretive operators,explicit iteration method,metastability,proof mining,rates of convergence,uniformly convex Banach spaces,uniformly smooth Banach spaces
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