Parametrized multicriteria optimization: Continuity and closedness of optimal multifunctions

From MaRDI portal
Publication:581251

DOI10.1016/0022-247X(86)90209-XzbMath0626.90083OpenAlexW2008506262MaRDI QIDQ581251

Alicja Sterna-Karwat, Jean-Paul Penot

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(86)90209-x




Related Items

A note on lower semicontinuity of minimal pointsExistence and continuity of solutions for vector optimizationConvergence of the efficient setsRandom approximations in multiobjective optimizationVector quasi-equilibrium problems for the sum of two multivalued mappingsOn the existence and stability of approximate solutions of perturbed vector equilibrium problemsConvergence of solutions of a set optimization problem in the image spaceStability and sensitivity analysis in multiobjective nonlinear programmingStability of majorly efficient points and solutions in multiobjective programmingA unified stability result with perturbations in vector optimizationOn solving parametric multiobjective quadratic programs with parameters in general locationsContinuity and closedness of constraint and solution set mappings in unified parametric semi-infinite vector optimizationSome characterizations of solution sets of vector optimization problems with generalized orderStability of efficient sets: continuity of mobile polaritiesRecession maps and applicationsConvexity of the optimal multifunctions and its consequences in vector optimizationEssential stability in unified vector optimizationParametrized multicriteria optimization; order continuity of the marginal multifunctionsContinuity of the efficient solution mapping for vector optimization problemsPareto optimizing and scalarly stationary sequencesConvergence of minimal and approximate minimal elements of sets in partially ordered vector spacesContinuous dependence of solutions on a parameter in a scalarization methodApproximating families of cones and proper efficiency in vector optimizationExistence of solutions for a generalized vector quasivariational inequalityComparison of existence results for efficient pointsOn sensitivity in linear multiobjective programmingApproximate efficiency and scalar stationarity in unbounded nonsmooth convex vector optimization problemsScalarization and stability in vector optimizationPreservation of persistence and stability under intersections and operations. I: PersistenceLower semicontinuity of the efficient solution mapping in semi-infinite vector optimization



Cites Work