The Resolvent Average of Monotone Operators: Dominant and Recessive Properties

DOI10.1137/15M1020964zbMath1357.47053arXiv1505.02718MaRDI QIDQ2792407

Sarah M. Moffat, Sedi Bartz, Heinz H. Bauschke, Shawn Xianfu Wang

Publication date: 9 March 2016

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.02718

zbMATH Keywords

strong monotonicityconvex functionmonotone operatoruniform convexitystrong smoothnessLegendre functionfirmly nonexpansive operatorstrong convexityuniform smoothnesssubdifferential operatorFenchel conjugateproximal averageresolvent averageparamonotone operatorpositive semidefinite operatorrectangular monotone operatorresolvent of a monotone operator

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Theory of matrix inversion and generalized inverses (15A09) Linear operator inequalities (47A63) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Convex functions and convex programs in convex geometry (52A41) Convexity of real functions in one variable, generalizations (26A51) Means (26E60) Convexity of real functions of several variables, generalizations (26B25)

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