Isotonicity of the metric projection with respect to the mutually dual orders and complementarity problems
From MaRDI portal
Publication:5870150
DOI10.1080/02331934.2021.1969395OpenAlexW3195783861MaRDI QIDQ5870150
No author found.
Publication date: 5 January 2023
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2021.1969395
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)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Isotonic regression and isotonic projection
- Extended Lorentz cones and variational inequalities on cylinders
- On the hyperbolic Pascal pyramid
- A semi-smooth Newton method for projection equations and linear complementarity problems with respect to the second order cone
- Finding solutions of implicit complementarity problems by isotonicity of the metric projection
- Generalized projections onto convex sets
- A duality between the metric projection onto a convex cone and the metric projection onto its dual
- Solving nonlinear complementarity problems by isotonicity of the metric projection
- Optimal solutions to variational inequalities on Banach lattices
- Equilibrium problems involving the Lorentz cone
- Normality of spaces of operators and quasi-lattices
- Monotonicity of metric projection onto positive cones of ordered Euclidean spaces
- On the spherical quasi-convexity of quadratic functions
- Isotonicity of the metric projection and complementarity problems in Hilbert spaces
- Linear complementarity problems on extended second order cones
- Scalarizations for a unified vector optimization problem based on order representing and order preserving properties
- How to project onto extended second order cones
- A globally and quadratically convergent smoothing Newton method for solving second-order cone optimization
- Projection onto simplicial cones by a semi-smooth Newton method
- Extended Lorentz cones and mixed complementarity problems
- Isotonicity of the metric projection by Lorentz cone and variational inequalities
- A duality between the metric projection onto a convex cone and the metric projection onto its dual in Hilbert spaces
- The best approximation theorems and variational inequalities for discontinuous mappings in Banach spaces
- Generalized isotone projection cones
- The Solvability of Nonlinear Split Ordered Variational Inequality Problems in Partially Ordered Vector Spaces
- The Proximal Point Method for Locally Lipschitz Functions in Multiobjective Optimization with Application to the Compromise Problem
- Isotone cones in Banach spaces and applications to best approximations of operators without continuity conditions
- Characterization of the Cone and Applications in Banach Spaces
- Isotone Projection Cones and Nonlinear Complementarity Problems
- Convex analysis and monotone operator theory in Hilbert spaces
