Isotonicity of the metric projection with respect to the mutually dual orders and complementarity problems

Authors :: Jinlu Li
Dezhou Kong
Lishan Liu
Yonghong Wu
Source :: Optimization. 71:4855-4877
Publication Year :: 2021
Publisher :: Informa UK Limited, 2021.
Abstract: In this paper, as an extension of the isotone projection cone, we consider the isotonicity of the metric projection operator with respect to the mutually dual orders induced by the cone and its dua...

Subjects :: Statistics::Theory
Pure mathematics
Control and Optimization
Applied Mathematics
Isotone
Nuclear Theory
Management Science and Operations Research
Dual (category theory)
Dual cone and polar cone
Operator (computer programming)
Cone (topology)
Complementarity theory
Complementarity (molecular biology)
Statistics::Methodology
Nuclear Experiment
Projection (set theory)
Mathematics

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