Optimality conditions for vector optimization problems with difference of convex maps

DOI10.1007/s10957-013-0327-3zbMath1307.90160OpenAlexW2042359424MaRDI QIDQ463000

Xiao-Le Guo, Sheng Jie Li

Publication date: 23 October 2014

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

Full work available at URL: https://doi.org/10.1007/s10957-013-0327-3

zbMATH Keywords

vector optimizationoptimality conditionPareto minimal point

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Programming in abstract spaces (90C48)

Related Items

Some characterizations of robust optimal solutions for uncertain fractional optimization and applications, On the optimality conditions for D.C. vector optimization problems, A modified proximal point method for DC functions on Hadamard manifolds, Bilevel optimization with a multiobjective problem in the lower level, Optimality conditions for composite DC infinite programming problems, A note on optimality conditions for DC programs involving composite functions, A proximal point method for difference of convex functions in multi-objective optimization with application to group dynamic problems, A note on the paper ``Optimality conditions for vector optimization problems with difference of convex maps

Cites Work

• Unnamed Item
• On the Dini-Hadamard subdifferential of the difference of two functions
• The directional subdifferential of the difference of two convex functions
• Optimality conditions for D.C. vector optimization problems under reverse convex constraints
• Optimality conditions for the difference of convex set-valued mappings
• Higher order optimality conditions for Henig efficient solutions in set-valued optimization
• \(\varepsilon\)-optimality conditions for composed convex optimization problems
• Lagrange multipliers for \(\varepsilon \)-Pareto solutions in vector optimization with nonsolid cones in Banach spaces
• Gap continuity of multimaps
• On the subdifferentiability of the difference of two functions and local minimization
• Optimality conditions in DC-constrained optimization
• On subdifferentials of set-valued maps
• Optimality conditions for set-valued optimization problems
• Optimization of set-valued functions
• Nonconvex vector optimization of set-valued mappings.
• Sufficient optimality condition for vector optimization problems under D.C. data
• \(\epsilon\)-formality and duality for fractional programming
• Second-order optimality conditions for strict efficiency of constrained set-valued optimization
• \(\varepsilon\)-subdifferentials of set-valued maps and \(\varepsilon\)-weak Pareto optimality for multiobjective optimization
• Pareto Subdifferential Calculus for Convex Vector Mappings and Applications to Vector Optimization
• Subdifferentiability of Convex Functions with Values in an Ordered Vector Space.
• Simplified optimality conditions for minimizing the difference of vector-valued functions