Variable Ordering Structures in Vector Optimization

From MaRDI portal
Publication:5402124

DOI10.1007/978-3-642-54283-1zbMath1321.90151OpenAlexW1528815044MaRDI QIDQ5402124

Gabriele Eichfelder

Publication date: 5 March 2014

Published in: Vector Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-54283-1




Related Items (49)

Levitin-Polyak well-posedness for vector optimization problems in linear spacesSet-valued optimization in variable preference structures with new variants of generalized convexityContinuity of a scalarization in vector optimization with variable ordering structures and application to convergence of minimal solutionsOptimality characterizations for approximate nondominated and Fermat rules for nondominated solutionsA Benson-type algorithm for bounded convex vector optimization problems with vertex selectionSubgradient algorithms for solving variable inequalitiesOn inexact projected gradient methods for solving variable vector optimization problemsA steepest descent-like method for vector optimization problems with variable domination structureA first bibliography on set and vector optimization problems with respect to variable domination structuresEfficient and weakly efficient solutions for the vector topical optimizationA Newton-like method for variable order vector optimization problemsSome properties of K-convex mappings in variable ordering settingsCharacterizations of set relations with respect to variable domination structures via oriented distance functionApproximations for Pareto and proper Pareto solutions and their KKT conditionsVector optimization problems with generalized functional constraints in variable ordering structure settingImages and existence of constrained scalar and vector extremaApproximate elements for set optimization problems with respect to variable domination structuresLagrange multiplier rules for weak approximate Pareto solutions to constrained vector optimization problems with variable ordering structuresVector optimization with domination structures: variational principles and applicationsWell-posedness for bilevel vector equilibrium problems with variable domination structuresGeneralized polarity and weakest constraint qualifications in multiobjective optimizationVectorial penalisation in vector optimisation in real linear-topological spacesFurther results on quasi efficient solutions in multiobjective optimizationA variable and a fixed ordering of intervals and their application in optimization with interval-valued functionsOn the study of multistage stochastic vector quasi-variational problemsTwenty years of continuous multiobjective optimization in the twenty-first centuryNecessary conditions for nondominated solutions in vector optimizationNonlinear Cone Separation Theorems in Real Topological Linear SpacesHigher-Order Karush--Kuhn--Tucker Conditions in Nonsmooth OptimizationCharacterization of approximate solutions of vector optimization problems with a variable order structureA coradiant based scalarization to characterize approximate solutions of vector optimization problems with variable ordering structuresConcepts for approximate solutions of vector optimization problems with variable order structuresA Trust-Region Algorithm for Heterogeneous Multiobjective OptimizationSet approach for set optimization with variable ordering structures. I: Set relations and relationship to vector approachSet approach for set optimization with variable ordering structures. II: Scalarization approachesExistence and boundedness of second-order Karush-Kuhn-Tucker multipliers for set-valued optimization with variable ordering structuresConstruction of functions with uniform sublevel setsA generalized scalarization method in set optimization with respect to variable domination structuresHartley properly and super nondominated solutions in vector optimization with a variable ordering structureCharacterization of properly optimal elements with variable ordering structuresTwo Set Scalarizations Based on the Oriented Distance with Variable Ordering Structures: Properties and Application to Set OptimizationCoderivative necessary optimality conditions for sharp and robust efficiencies in vector optimization with variable ordering structureHenig proper efficiency in vector optimization with variable ordering structureGeneralized strong vector quasi-equilibrium problems with variable ordering structureOn Pareto dominance in decomposably antichain-convex setsUnnamed ItemUnnamed ItemUnnamed ItemFixed points and variational principles with applications to capability theory of wellbeing via variational rationality




This page was built for publication: Variable Ordering Structures in Vector Optimization