Isotonicity of proximity operators in general quasi-lattices and optimization problems

DOI10.1007/s10957-020-01746-2OpenAlexW3087441416MaRDI QIDQ831361

Dezhou Kong, Yong-Hong Wu, Li Shan Liu

Publication date: 11 May 2021

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-020-01746-2

zbMATH Keywords

coneproximity operatorquasi-latticeisotonicitynonconvex nonsmooth optimization problem

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Fixed-point theorems (47H10) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Topological lattices (06B30) Operator theory (47-XX)

Related Items (1)

Isotonicity of the proximity operator and stochastic optimization problems in Hilbert quasi-lattices endowed with Lorentz cones

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