On the Intrinsic Core of Convex Cones in Real Linear Spaces
DOI10.1137/19M1283148zbMath1481.90253OpenAlexW3160355202MaRDI QIDQ4989934
Christian Günther, Christiane Tammer, A. P. Farajzadeh, Bahareh Khazayel
Publication date: 27 May 2021
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/19m1283148
vector optimizationconvex conelinear spacePareto efficiencyseparation theoremintrinsic corelinearity spacerelative algebraic interior
Convex programming (90C25) Multi-objective and goal programming (90C29) Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)
Related Items (7)
Cites Work
- Proper efficiency in vector optimization on real linear spaces.
- Relative Pareto minimizers for multiobjective problems: Existence and optimality conditions
- Quasi-relative interior-type constraint qualifications ensuring strong Lagrange duality for optimization problems with cone and affine constraints
- Partially finite convex programming. I: Quasi relative interiors and duality theory
- Weak efficiency in vector optimization using a closure of algebraic type under cone-convexlikeness.
- Notions of relative interior in Banach spaces
- Efficient and weak efficient points in vector optimization with generalized cone convexity
- Unifying local-global type properties in vector optimization
- On relatively solid convex cones in real linear spaces
- Explicitly quasiconvex set-valued optimization
- On the use of the quasi-relative interior in optimization
- Vector Optimization
- Duality in Vector Optimization
- A comparison of constraint qualifications in infinite-dimensional convex programming revisited
- Variational Analysis and Applications
- Regularized nonlinear scalarization for vector optimization problems with PDE-constraints
- Set-valued Optimization
- Vector duality for convex vector optimization problems by means of the quasi-interior of the ordering cone
- Convex Analysis
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On the Intrinsic Core of Convex Cones in Real Linear Spaces