Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Degrees of Efficiency and Degrees of Minimality - MaRDI portal

Degrees of Efficiency and Degrees of Minimality

From MaRDI portal
Publication:4443030

DOI10.1137/S0363012902411532zbMath1046.90084MaRDI QIDQ4443030

Alberto Zaffaroni

Publication date: 8 January 2004

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)




Related Items (only showing first 100 items - show all)

Scalarization and optimality conditions for the approximate solutions to vector variational inequalities in Banach spacesVariants of the Ekeland variational principle for a set-valued map involving the Clarke normal coneNonlinear separation functions, optimality conditions and error bounds for Ky Fan quasi-inequalitiesThe Lipschitzianity of convex vector and set-valued functionsSectionwise connected sets in vector optimizationSome properties of generalized oriented distance function and their applications to set optimization problemsStability on parametric strong symmetric quasi-equilibrium problems via nonlinear scalarizationFirst and second order optimality conditions in vector optimization problems with nontransitive preference relationNewton-like methods for efficient solutions in vector optimizationCharacterization of duality for a generalized quasi-equilibrium problemA Hausdorff-type distance, a directional derivative of a set-valued map and applications in set optimizationThe Ekeland variational principle for Henig proper minimizers and super minimizersRelationships between the oriented distance functional and a nonlinear separation functionalWell-posedness and scalarization in vector optimizationLower Semicontinuity Results in Parametric Multivalued Weak Vector Equilibrium Problems and ApplicationsVector network equilibrium problems with capacity constraints of arcs and nonlinear scalarization methodsCharacterizations of set relations with respect to variable domination structures via oriented distance functionGeoffrion type characterization of higher-order properly efficient points in vector optimizationConnectedness of solution sets for generalized vector equilibrium problems via free-disposal sets in complete metric spaceOptimality conditions for generalized Ky Fan quasi-inequalities with applicationsStrict efficiency in vector optimization with nearly convexlike set-valued mapsConnectedness of solution sets of strong vector equilibrium problems with an applicationImage space analysis for constrained inverse vector variational inequalities via multiobjective optimizationCharacterizations for optimality conditions of general robust optimization problemsA kind of equivalence of three nonlinear scalarization functions in vector optimizationImage space analysis for set optimization problems with applicationsA set scalarization function and Dini directional derivatives with applications in set optimization problemsUnified vector quasiequilibrium problems via improvement sets and nonlinear scalarization with stability analysisSecond order sufficient optimality conditions in vector optimizationNonlinear separation in the image space with applications to constrained optimizationUnified duality theory for constrained extremum problems. II: Special duality schemesLagrange multipliers in convex set optimization with the set and vector criteriaCharacterizations of multiobjective robustness via oriented distance function and image space analysisCharacterizations of set order relations and nonlinear scalarizations via generalized oriented distance function in set optimizationUnnamed ItemNonlinear separation approach to constrained extremum problemsTightly proper efficiency in vector optimization with nearly cone-subconvexlike set-valued mapsProperties of the nonlinear scalar functional and its applications to vector optimization problemsError bound results for convex inequality systems via conjugate dualityRobustness characterizations for uncertain optimization problems via image space analysisHadamard well-posedness for a set-valued optimization problemExistence and optimality conditions for approximate solutions to vector optimization problemsAsymptotic analysis of scalarization functions and applicationsApproximate properly solutions of constrained vector optimization with variable coradiant setsPositive definiteness of high-order subdifferential and high-order optimality conditions in vector optimization problemsTraffic network equilibrium problems with capacity constraints of arcs and linear scalarization methodsOptimality conditions and scalarization of approximate quasi weak efficient solutions for vector equilibrium problemScalarization in geometric and functional vector optimization revisitedNonlinear separation functions and constrained extremum problemsLagrange multiplier rules for weak approximate Pareto solutions of constrained vector optimization problems in Hilbert spacesNotes on Lipschitz properties of nonlinear scalarization functions with applicationsVariational analysis on the signed distance functionsSeparations and optimality of constrained multiobjective optimization via improvement setsA general approach for studying duality in multiobjective optimizationVector variational-like inequalities with constraints: separation and alternativeExistence of pseudo-relative sharp minimizers in set-valued optimizationA set scalarization function based on the oriented distance and relations with other set scalarizationsNonlinear separation concerning \(E\)-optimal solution of constrained multi-objective optimization problemsFrom scalar to vector optimization.Scalarizations for a unified vector optimization problem based on order representing and order preserving propertiesSlopes, error bounds and weak sharp Pareto minima of a vector-valued mapNonlinear scalarization with applications to Hölder continuity of approximate solutionsLagrange multipliers for \(\varepsilon \)-Pareto solutions in vector optimization with nonsolid cones in Banach spacesCharacterizing efficiency on infinite-dimensional commodity spaces with ordering cones having possibly empty interiorWeak sharp efficiency and growth condition for vector-valued functions with applicationsStability of properly efficient points and isolated minimizers of constrained vector optimization problemsScalarization in set optimization with solid and nonsolid ordering conesCharacterizations of efficient and weakly efficient points in nonconvex vector optimizationScalarizations and optimality of constrained set-valued optimization using improvement sets and image space analysisHölder continuity results for nonconvex parametric generalized vector quasiequilibrium problems via nonlinear scalarizing functionsA new nonlinear scalarization function and applicationsAn operational test for the existence of a consistent increasing quasi-concave value functionSome properties of nonconvex oriented distance function and applications to vector optimization problemsOn the stability of solutions for the generalized vector quasi-equilibrium problems via free-disposal setWell posedness in vector optimization problems and vector variational inequalitiesSix set scalarizations based on the oriented distance: continuity, convexity and application to convex set optimizationApproximate proper efficiency in vector optimizationDynamic analysis of fractional-order quaternion-valued fuzzy memristive neural networks: vector ordering approachMerit functions in vector optimizationHigher-order variational sets and higher-order optimality conditions for proper efficiency in set-valued nonsmooth vector optimizationTwo Set Scalarizations Based on the Oriented Distance with Variable Ordering Structures: Properties and Application to Set OptimizationSemicontinuity and convergence for vector optimization problems with approximate equilibrium constraintsCharacterization of set relations through extensions of the oriented distanceA new concept of slope for set-valued maps and applications in set optimization studied with Kuroiwa's set approachExtended well-posedness of quasiconvex vector optimization problemsSet Relations via Families of Scalar Functions and Approximate Solutions in Set OptimizationSuper efficient solutions for set-valued mapsDuality for vector optimization problems via a general scalarizationScalarization and robustness in uncertain vector optimization problems: a non componentwise approachScalarizations for a set optimization problem using generalized oriented distance functionImage space analysis for uncertain multiobjective optimization problems: robust optimality conditionsIsolated minimizers and proper efficiency for \(C^{0,1}\) constrained vector optimization problemsLagrange multipliers for set-valued optimization problems associated with coderivativesThe Fermat rule for multifunctions on Banach spacesOptimality conditions for efficient solutions of nonconvex constrained multiobjective optimization problems via image space analysisNew notions of proper efficiency in set optimization with the set criterionExistence and characterization theorems in nonconvex vector optimizationSteepest descent methods for critical points in vector optimization problemsA new approach to constrained optimization via image space analysisOptimality conditions for quasi-solutions of vector optimization problems




This page was built for publication: Degrees of Efficiency and Degrees of Minimality