Existence and boundedness of solutions in infinite-dimensional vector optimization problems

DOI10.1007/s10957-014-0541-7zbMath1301.49016OpenAlexW2052940567MaRDI QIDQ467450

Rubén López, César Gutiérrez, Vicente Novo Sanjurjo

Publication date: 3 November 2014

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-014-0541-7

zbMATH Keywords

existence theoremscoercivityboundednessefficient solutionasymptotic coneweak efficient solutionasymptotic functionconvex vector optimizationdomination propertylinear scalarization

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Programming in abstract spaces (90C48) Existence theories for problems in abstract spaces (49J27)

Related Items

On the existence of weak efficient solutions of nonconvex vector optimization problems ⋮ Chain rules for a proper \(\varepsilon\)-subdifferential of vector mappings ⋮ Noncoercive and noncontinuous equilibrium problems: existence theorem in infinite-dimensional spaces ⋮ Existence of efficient and properly efficient solutions to problems of constrained vector optimization ⋮ On Hadamard well-posedness of families of Pareto optimization problems ⋮ The q-asymptotic function in c-convex analysis ⋮ On the existence of Pareto solutions for polynomial vector optimization problems ⋮ Conical regularization for multi-objective optimization problems ⋮ Existence of Pareto solutions for vector polynomial optimization problems with constraints

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regularization for state constrained optimal control problems by half spaces based decoupling
• Solution existence and stability of quadratically constrained convex quadratic programs
• Inner and outer estimates for the solution sets and their asymptotic cones in vector optimization
• Boundedness and nonemptiness of the efficient solution sets in multiobjective optimization
• Characterization of the nonemptiness and compactness of solution sets in convex and nonconvex vector optimization
• On the set of weakly efficient minimizers for convex multiobjective programming
• Generalized \(\varepsilon \)-quasi-solutions in multiobjective optimization problems: existence results and optimality conditions
• Characterizations of the nonemptiness and Boundedness of weakly efficient solution sets of Convex vector optimization problems in real reflexive Banach spaces
• Solvability of generalized variational inequality problems for unbounded sets in reflexive Banach spaces
• General existence theorems for unilateral problems in continuum mechanics
• Characterizations of the nonemptiness and compactness of solution sets in convex vector optimization
• On efficient solutions in vector optimization
• Ideal, weakly efficient solutions for vector optimization problems
• Variational methods in partially ordered spaces
• Existence theory for finite-dimensional pseudomonotone equilibrium problems
• Topological methods in complementarity theory
• Variational convergence for vector-valued functions and its applications to convex multiobjective optimization
• An extension of the basic constraint qualification to nonconvex vector optimization problems
• Characterizations for the nonemptiness and compactness of the set of weakly efficient solutions
• On the choice of parameters for the weighting method in vector optimization
• Vector optimization. Set-valued and variational analysis.
• Vector Optimization
• Variational Analysis in Sobolev andBVSpaces
• Implicit Functions and Solution Mappings
• Dual Characterization and Scalarization for Benson Proper Efficiency
• A Set-Valued Ekeland's Variational Principle in Vector Optimization
• Stability for convex vector optimization problems
• On solidness of polar cones
• Characterizations of nonemptiness and compactness of the set of weakly efficient solutions for convex vector optimization and applications

This page was built for publication: Existence and boundedness of solutions in infinite-dimensional vector optimization problems