Isotonicity of the metric projection by Lorentz cone and variational inequalities
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Publication:2401511
DOI10.1007/s10957-017-1084-5OpenAlexW2591355265MaRDI QIDQ2401511
Dezhou Kong, Li Shan Liu, Yong-Hong Wu
Publication date: 1 September 2017
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-017-1084-5
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Fixed-point theorems (47H10) Functional inequalities, including subadditivity, convexity, etc. (39B62) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)
Related Items (10)
Isotonicity of proximity operators in general quasi-lattices and optimization problems ⋮ Isotonicity of the proximity operator and stochastic optimization problems in Hilbert quasi-lattices endowed with Lorentz cones ⋮ Isotonicity of the metric projection and complementarity problems in Hilbert spaces ⋮ Coupled best approximation theorems for discontinuous operators in partially ordered Banach spaces ⋮ Existence of generalized Nash equilibrium in \(n\)-person noncooperative games under incomplete preference ⋮ Isotonicity of the proximity operator and mixed variational inequalities in Hilbert spaces ⋮ Characterization of the Cone and Applications in Banach Spaces ⋮ Fuzzy relation lexicographic programming for modelling P2P file sharing system ⋮ Evaluation model and approximate solution to inconsistent max-min fuzzy relation inequalities in P2P file sharing system ⋮ Isotonicity of the metric projection with respect to the mutually dual orders and complementarity problems
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