Nonlinear Cone Separation Theorems in Real Topological Linear Spaces
From MaRDI portal
Publication:6177388
DOI10.1137/22m1542003arXiv2212.06293WikidataQ129876829 ScholiaQ129876829MaRDI QIDQ6177388
Christian Günther, Christiane Tammer, Bahareh Khazayel
Publication date: 17 January 2024
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.06293
Numerical optimization and variational techniques (65K10) Programming in abstract spaces (90C48) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Existence theories for problems in abstract spaces (49J27)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Properly optimal elements in vector optimization with variable ordering structures
- Nonconvex separation theorems and some applications in vector optimization
- Proper efficiency in vector optimization on real linear spaces.
- An incremental piecewise linear classifier based on polyhedral conic separation
- A cone separation theorem
- Proper efficiency with respect to cones
- About separation by cones
- Maximum principle in the problem of time optimal response with nonsmooth constraints
- Generalized differential calculus for nonsmooth and set-valued mappings
- Variational methods in partially ordered spaces
- About extensions of the extremal principle
- A steepest descent method for vector optimization
- A novel piecewise linear classifier based on polyhedral conic and max-min separabilities
- On relatively solid convex cones in real linear spaces
- Duality in nonconvex vector optimization
- Vector optimization w.r.t. relatively solid convex cones in real linear spaces
- Characterizations of the set less order relation in nonconvex set optimization
- Comparison of some scalarization methods in multiobjective optimization
- Separation theorems for nonconvex sets and application in optimization
- Extremality, stationarity and generalized separation of collections of sets
- A unified characterization of nonlinear scalarizing functionals in optimization
- Existence and characterization theorems in nonconvex vector optimization
- A conic scalarization method in multi-objective optimization
- An extension of the Kaliszewski cone to non-polyhedral pointed cones in infinite-dimensional spaces
- A polyhedral conic functions based classification method for noisy data
- The intrinsic core and minimal faces of convex sets in general vector spaces
- A New Conical Regularization for Some Optimization and Optimal Control Problems: Convergence Analysis and Finite Element Discretization
- Vector Optimization and Monotone Operators via Convex Duality
- Vector Optimization
- Duality in Vector Optimization
- A Nonlinear Cone Separation Theorem and Scalarization in Nonconvex Vector Optimization
- Recent results on separation of convex sets1
- Degrees of Efficiency and Degrees of Minimality
- Nonlinear scalarization in multiobjective optimization with a polyhedral ordering cone
- On the Intrinsic Core of Convex Cones in Real Linear Spaces
- Convex Analysis and Beyond
- Separation, convexity and polarity in the space of normlinear functions
- Variable Ordering Structures in Vector Optimization
- Set-valued Optimization
- Separation via polyhedral conic functions
- Fenchel–Rockafellar theorem in infinite dimensions via generalized relative interiors
- Bishop–Phelps cones given by an equation in Banach spaces
This page was built for publication: Nonlinear Cone Separation Theorems in Real Topological Linear Spaces