Nonconvex vector optimization of set-valued mappings.
From MaRDI portal
Publication:1405287
DOI10.1016/S0022-247X(02)00410-9zbMath1137.90642OpenAlexW2071192910MaRDI QIDQ1405287
Xiao Qi Yang, Guang-Ya Chen, Sheng Jie Li
Publication date: 25 August 2003
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00410-9
Related Items (31)
Higher-order generalized Studniarski epiderivative and its applications in set-valued optimization ⋮ Hölder continuity of the unique solution to parametric vector quasiequilibrium problems via nonlinear scalarization ⋮ Nonconvex scalarization in set optimization with set-valued maps ⋮ Higher-order optimality conditions in set-valued optimization using radial sets and radial derivatives ⋮ Strict efficiency in vector optimization with nearly convexlike set-valued maps ⋮ Continuity and convexity of a nonlinear scalarizing function in set optimization problems with applications ⋮ Scalarization of Henig properly efficient points in locally convex spaces ⋮ A general vectorial Ekeland's variational principle with a P-distance ⋮ Tightly proper efficiency in vector optimization with nearly cone-subconvexlike set-valued maps ⋮ Hadamard well-posedness for a set-valued optimization problem ⋮ Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization ⋮ Optimality conditions for vector optimization problems with difference of convex maps ⋮ Lagrangian duality in set-valued optimization ⋮ External and internal stability in set optimization ⋮ Higher-order optimality conditions for set-valued optimization ⋮ Optimality conditions and minimax properties in set optimization ⋮ On the existence of solutions of symmetric vector equilibrium problems via nonlinear scalarization ⋮ Qualitative properties of solutions to set optimization problems ⋮ Characterizing efficiency on infinite-dimensional commodity spaces with ordering cones having possibly empty interior ⋮ New second-order radial epiderivatives and nonconvex set-valued optimization problems ⋮ Scalarization of Levitin-Polyak well-posedness in vector optimization using weak efficiency ⋮ A new nonlinear scalarization function and applications ⋮ Hölder Continuity of Solutions to Parametric Vector Equilibrium Problems with Nonlinear Scalarization ⋮ Higher-order weak radial epiderivatives and non-convex set-valued optimization problems ⋮ Higher-order generalized radial epiderivative and its applications to set-valued optimization problems ⋮ Nonlinear scalarizing functions in set optimization problems ⋮ Continuity of solution maps to parametric set optimization problems via parametric equilibrium problems ⋮ Lagrange multipliers for set-valued optimization problems associated with coderivatives ⋮ ε-Conjugate maps andε-conjugate duality in vector optimization with set-valued maps ⋮ Scalarization and well-posedness for set optimization using coradiant sets ⋮ On the Hölder continuity of solution maps to parametric generalized vector quasi-equilibrium problems via nonlinear scalarization
Cites Work
- Nonconvex separation theorems and some applications in vector optimization
- A nonlinear theorem of the alternative without regularity assumption
- Existence and Lagrangian duality for maximization of set-valued functions
- Benson proper efficiency in the vector optimization of set-valued maps
- Optimization of set-valued functions
- Contingent epiderivatives and set-valued optimization
- Vector network equilibrium problems and nonlinear scalarization methods
- Proper Efficient Points for Maximizations with Respect to Cones
- Optimality conditions for maximizations of set-valued functions
This page was built for publication: Nonconvex vector optimization of set-valued mappings.