Most maximally monotone operators have a unique zero and a super-regular resolvent

DOI10.1016/j.na.2013.03.008zbMath1300.47058arXiv1301.6443OpenAlexW2963612116MaRDI QIDQ393212

Shawn Xianfu Wang

Publication date: 16 January 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.6443

zbMATH Keywords

resolventfixed pointnonexpansive mappingasymptotic regularityBaire categorymaximally monotone operatorweakly contractive mappinggraphical convergencereflected resolventsuper-regularityzeros of monotone operator

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Complete metric spaces (54E50) Baire category, Baire spaces (54E52) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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