Various Notions of Nonexpansiveness Coincide for Proximal Mappings of Functions
DOI10.1137/23m1597009WikidataQ128180217 ScholiaQ128180217MaRDI QIDQ6202761
Yang, Xinmin, Honglin Luo, Shawn Xianfu Wang
Publication date: 27 February 2024
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
nonexpansive mappinglimiting subdifferentialfirmly nonexpansive mappingaveraged mappingproximal mappinghypoconvex functionprox-bounded function
Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Convexity of real functions of several variables, generalizations (26B25)
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