2022
DOI: 10.48550/arxiv.2205.01801
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Quantitative results on algorithms for zeros of differences of monotone operators in Hilbert space

Abstract: We provide quantitative information in the form of a rate of metastability in the sense of T. Tao and (under a metric regularity assumption) a rate of convergence for an algorithm approximating zeros of differences of maximally monotone operators due to A. Moudafi by using techniques from 'proof mining', a subdiscipline of mathematical logic. For the rate of convergence, we provide an abstract and general result on the construction of rates of convergence for quasi-Fejér monotone sequences with metric regulari… Show more

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“…via an additional modulus of uniform continuity for A (as e.g. defined in [15], see in particular the discussions in [8,11,16]).…”
Section: By T ωmentioning
confidence: 99%
“…via an additional modulus of uniform continuity for A (as e.g. defined in [15], see in particular the discussions in [8,11,16]).…”
Section: By T ωmentioning
confidence: 99%