The Method of Monotone Iterations for Mixed Monotone Operators in Partially Ordered Sets and Order-Attractive Fixed Points

zbMath1314.47111arXiv1308.4721MaRDI QIDQ2925804

Mircea-Dan Rus

Publication date: 27 October 2014

Full work available at URL: https://arxiv.org/abs/1308.4721

zbMATH Keywords

conefixed pointpartially ordered setcoupled fixed pointmonotone iterative methodmixed monotone operatorordered linear spacecoupled lower-upper fixed pointorder-attractive point

Mathematics Subject Classification ID

Partial orders, general (06A06) Iterative procedures involving nonlinear operators (47J25) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

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