Nonlinear scalarizing functions in set optimization problems
From MaRDI portal
Publication:5239080
DOI10.1080/02331934.2019.1602771zbMath1431.90142OpenAlexW2939894901WikidataQ128085537 ScholiaQ128085537MaRDI QIDQ5239080
Publication date: 21 October 2019
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2019.1602771
Related Items (18)
A new scalarization approach and applications in set optimization ⋮ Characterizations of the set less order relation in nonconvex set optimization ⋮ A Hausdorff-type distance, the Clarke generalized directional derivative and applications in set optimization problems ⋮ Connectedness of weak minimal solution set for set optimization problems ⋮ A kind of equivalence of three nonlinear scalarization functions in vector optimization ⋮ Convergence of the solution sets for set optimization problems ⋮ A set scalarization function and Dini directional derivatives with applications in set optimization problems ⋮ Painlevé–Kuratowski convergences of the solution sets for set optimization problems with cone-quasiconnectedness ⋮ Conjugate duality in set optimization via nonlinear scalarization ⋮ Stability of optimal points with respect to improvement sets ⋮ Semicontinuity of the minimal solution mappings to parametric set optimization problems on Banach lattices ⋮ Weak Henig proper solution sets for set optimization problems ⋮ Hölder continuity of solution maps to parametric set-valued Ky Fan inequalities ⋮ Six set scalarizations based on the oriented distance: continuity, convexity and application to convex set optimization ⋮ Well-posedness and stability in set optimization with applications ⋮ Some characterizations of a nonlinear scalarizing function via oriented distance function ⋮ Connectedness of the approximate solution sets for set optimization problems ⋮ On Lipschitz continuity of solutions to equilibrium problems via the Hiriart-Urruty oriented distance function
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Vectorization in set optimization
- Convergence of solutions of a set optimization problem in the image space
- Existence and stability of solutions for a class of generalized vector equilibrium problems
- Pointwise well-posedness in set optimization with cone proper sets
- On Hölder continuity of approximate solutions to parametric equilibrium problems
- Four types of nonlinear scalarizations and some applications in set optimization
- Continuity of the solution set mappings to a parametric set optimization problem
- New order relations in set optimization
- Nonconvex separation theorems and some applications in vector optimization
- Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems
- Nonconvex scalarization in set optimization with set-valued maps
- Some characterizations of the approximate solutions to generalized vector equilibrium problems
- Lower semicontinuity of the set of efficient solutions for generalized systems
- Well-posedness for set optimization problems
- Solution semicontinuity of parametric generalized vector equilibrium problems
- The Hölder continuity of solutions to generalized vector equilibrium problems
- Nonconvex vector optimization of set-valued mappings.
- Variational methods in partially ordered spaces
- The algebra of many-valued quantities
- Continuity and convexity of a nonlinear scalarizing function in set optimization problems with applications
- Pointwise and global well-posedness in set optimization: a direct approach
- Lipschitz continuity of approximate solution mappings to parametric generalized vector equilibrium problems
- Convergence results for weak efficiency in vector optimization problems with equilibrium constraints
- Scalarizing vector optimization problems
- On set-valued optimization.
- Continuity of cone-convex functions
- Continuity of the solution mappings to parametric generalized strong vector equilibrium problems
- On the vectorial Ekeland's variational principle and minimal points in product spaces
- Vector network equilibrium problems and nonlinear scalarization methods
- Continuity of solution maps of parametric quasiequilibrium problems
- Lower semicontinuity of solution mapping to parametric generalized strong vector equilibrium problems
- Existence theorems for set optimization problems
- Karush-Kuhn-Tucker conditions in set optimization
- On the Hölder continuity of solutions to parametric multivalued vector equilibrium problems
- A nonlinear scalarization function and generalized quasi-vector equilibrium problems
- On the Hölder continuity of approximate solution mappings to parametric weak generalized Ky Fan Inequality
- Set-relations and optimality conditions in set-valued maps
- Well-posedness and stability of solutions for set optimization problems
- Lipschitz properties of the scalarization function and applications
- Existence theorems of set optimization with set-valued maps
- Set optimization by means of variable order relations
- Set-valued Optimization
This page was built for publication: Nonlinear scalarizing functions in set optimization problems
