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

zbMATH Keywords

vector optimizationefficiencyscalarizationinfinite-dimensional commodity spacequasi-relative interior

Mathematics Subject Classification ID

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)

Characterizations of improvement sets via quasi interior and applications in vector optimization ⋮ Quasi-relative interiors for graphs of convex set-valued mappings ⋮ Algebraic core and convex calculus without topology ⋮ A unified minimal solution in set optimization ⋮ Stability in unified semi-infinite vector optimization ⋮ Continuity and closedness of constraint and solution set mappings in unified parametric semi-infinite vector optimization ⋮ Scalarizations for a unified vector optimization problem based on order representing and order preserving properties ⋮ Connectedness in vector equilibrium problems involving cones with possibly empty interior ⋮ Essential stability in unified vector optimization ⋮ Existence and Convergence of Optimal Points with Respect to Improvement Sets ⋮ New Farkas-type results for vector-valued functions: a non-abstract approach ⋮ Stability and scalarization for a unified vector optimization problem ⋮ Nonconvex Separation Functional in Linear Spaces with Applications to Vector Equilibria

Cites Work

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• 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

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