Coderivative necessary optimality conditions for sharp and robust efficiencies in vector optimization with variable ordering structure

DOI10.1080/02331934.2016.1152473zbMath1346.90766OpenAlexW2332600266MaRDI QIDQ2817222

Elena-Andreea Florea

Publication date: 29 August 2016

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2016.1152473

zbMATH Keywords

necessary optimality conditionsvector optimizationvariable ordering structurecoderivative calculus

Mathematics Subject Classification ID

Nonlinear programming (90C30) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)

Related Items

A first bibliography on set and vector optimization problems with respect to variable domination structures, Vector optimization problems with generalized functional constraints in variable ordering structure setting, Lagrange multiplier rules for weak approximate Pareto solutions to constrained vector optimization problems with variable ordering structures, Error Bounds and Multipliers in Constrained Optimization Problems with Tolerance, A study of generalized vector variational inequalities via vector optimization problems, Henig proper efficiency in vector optimization with variable ordering structure

Cites Work

• Necessary nondomination conditions in set and vector optimization with variable ordering structures
• On directional metric regularity, subregularity and optimality conditions for nonsmooth mathematical programs
• Necessary optimality conditions for weak sharp minima in set-valued optimization
• Compactness properties, openness criteria and coderivatives
• Cooperative behavior of functions, relations and sets
• Variational methods in partially ordered spaces
• Metric regularity of composition set-valued mappings: metric setting and coderivative conditions
• Metric regularity of the sum of multifunctions and applications
• The relationship between multi-objective robustness concepts and set-valued optimization
• On set-valued optimization problems with variable ordering structure
• The Fermat rule for multifunctions on Banach spaces
• Optimality conditions for vector optimization problems with variable ordering structures
• Variable Ordering Structures in Vector Optimization
• Fréchet subdifferential calculus and optimality conditions in nondifferentiable programming
• Strict Efficiency in Set-Valued Optimization
• Fuzzy necessary optimality conditions for vector optimization problems
• Variational Analysis and Generalized Differentiation I
• Variable Ordering Structures in Vector Optimization