Characterizing efficiency on infinite-dimensional commodity spaces with ordering cones having possibly empty interior
DOI10.1007/s10957-014-0558-yzbMath1307.90142OpenAlexW1969596474MaRDI QIDQ2260684
Fernando Flores-Bazán, Sigifredo Laengle, Fabián Flores-Bazan
Publication date: 11 March 2015
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10533/148005
vector optimizationefficiencyscalarizationinfinite-dimensional commodity spacequasi-relative interior
Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46)
Related Items (13)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Scalarization and nonlinear scalar duality for vector optimization with preferences that are not necessarily a pre-order relation
- Nonconvex separation theorems and some applications in vector optimization
- Vector optimization problems via improvement sets
- Relative Pareto minimizers for multiobjective problems: Existence and optimality conditions
- Nonconvex scalarization in set optimization with set-valued maps
- On the characterization of efficient production vectors
- Characterizing efficiency without linear structure: a unified approach
- Lagrange multipliers for \(\varepsilon \)-Pareto solutions in vector optimization with nonsolid cones in Banach spaces
- Quasi-relative interior-type constraint qualifications ensuring strong Lagrange duality for optimization problems with cone and affine constraints
- Optimality conditions via scalarization for a new \(\epsilon \)-efficiency concept in vector optimization problems
- Existence of equilibria when firms follow bounded losses pricing rules
- Partially finite convex programming. I: Quasi relative interiors and duality theory
- New optimality principles for economic efficiency and equilibrium
- Quasi interiors, Lagrange multipliers, and \(L^ p\) spectral estimation with lattice bounds
- A solvability theorem for a class of quasiconvex mappings with applications to optimization
- Nonconvex vector optimization of set-valued mappings.
- Variational methods in partially ordered spaces
- Convex measures of risk and trading constraints
- Characterizing the efficient points without closedness or free-disposability
- Incomplete markets over an infinite horizon: Long-lived securities and speculative bubbles
- Scalarizing vector optimization problems
- Improvement sets and vector optimization
- Optimality conditions for a unified vector optimization problem with not necessarily preordering relations
- On the choice of parameters for the weighting method in vector optimization
- Vector optimization. Set-valued and variational analysis.
- Duality for vector optimization problems via a general scalarization
- A unified vector optimization problem: complete scalarizations and applications
- Adaptive Scalarization Methods in Multiobjective Optimization
- Lipschitz properties of the scalarization function and applications
- Competitive Equilibria in Production Economies with an Infinite-Dimensional Commodity Space
- On the characterization of efficient points by means of monotone functionals
- Tangent Cones, Generalized Gradients and Mathematical Programming in Banach Spaces
- Degrees of Efficiency and Degrees of Minimality
- A Unified Approach and Optimality Conditions for Approximate Solutions of Vector Optimization Problems
This page was built for publication: Characterizing efficiency on infinite-dimensional commodity spaces with ordering cones having possibly empty interior