Convergence of solutions of a set optimization problem in the image space
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Publication:306379
DOI10.1007/s10957-016-0942-xzbMath1346.49021OpenAlexW2346414921MaRDI QIDQ306379
Enrico Miglierina, Elena Molho, Vicente Novo Sanjurjo, César Gutiérrez
Publication date: 31 August 2016
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-016-0942-x
Sensitivity, stability, well-posedness (49K40) Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53)
Related Items (18)
Semicontinuity property of approximate solution mappings in bifunction-set optimization ⋮ Convergence of the solution sets for set optimization problems ⋮ Essential stability in set optimization ⋮ Painlevé–Kuratowski convergences of the solution sets for set optimization problems with cone-quasiconnectedness ⋮ Convergence of solutions to set optimization problems with the set less order relation ⋮ Stability in set-valued optimization problems using asymptotic analysis and epi-convergence ⋮ Semicontinuity of the minimal solution mappings to parametric set optimization problems on Banach lattices ⋮ On global well-posedness of semi-infinite set optimization problems ⋮ Well-posedness and stability of solutions for set optimization problems ⋮ External and internal stability in set optimization ⋮ Stability of efficient solutions to set optimization problems ⋮ Stability of minimal solutions to parametric set optimization problems ⋮ The stability and extended well-posedness of the solution sets for set optimization problems via the Painlevé-Kuratowski convergence ⋮ On Levitin-Polyak well-posedness and stability in set optimization ⋮ Levitin-Polyak well-posedness in set optimization concerning Pareto efficiency ⋮ The stability of the solution sets for set optimization problems via improvement sets ⋮ Nonlinear scalarizing functions in set optimization problems ⋮ Continuity of solution maps to parametric set optimization problems via parametric equilibrium problems
Cites Work
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- Minmax robustness for multi-objective optimization problems
- Concepts of efficiency for uncertain multi-objective optimization problems based on set order relations
- Pointwise well-posedness in set optimization with cone proper sets
- Continuity of the solution set mappings to a parametric set optimization problem
- New order relations in set optimization
- Parametrized multicriteria optimization: Continuity and closedness of optimal multifunctions
- Strict approximate solutions in set-valued optimization with applications to the approximate Ekeland variational principle
- Nonconvex scalarization in set optimization with set-valued maps
- Well posedness in vector optimization problems and vector variational inequalities
- Extended well-posedness of quasiconvex vector optimization problems
- Convergence of the efficient sets
- Variational methods in partially ordered spaces
- Convergence of minimal and approximate minimal elements of sets in partially ordered vector spaces
- On set-valued optimization.
- Scalarization in set optimization with solid and nonsolid ordering cones
- The relationship between multi-objective robustness concepts and set-valued optimization
- Hadamard well-posed vector optimization problems
- Existence theorems for set optimization problems
- Vector optimization. Set-valued and variational analysis.
- Constrained optimization and image space analysis. Vol. 1: Separation of sets and optimality conditions
- Vector Optimization
- On cone convexity of set-valued maps
- Stability for convex vector optimization problems
- Convergence of Minimal Sets in Convex Vector Optimization
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