Convergence of Minimal Sets in Convex Vector Optimization

DOI10.1137/030602642zbMath1114.90116OpenAlexW2016429743MaRDI QIDQ5317509

Enrico Miglierina, Elena Molho

Publication date: 16 September 2005

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/030602642

zbMATH Keywords

stabilityvector optimizationconvex setsminimal pointsset-convergences

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31) Programming in abstract spaces (90C48)

Related Items (16)

Stability of set-valued optimization problems with naturally quasi-functions ⋮ On the existence and stability of approximate solutions of perturbed vector equilibrium problems ⋮ Convergence of solutions of a set optimization problem in the image space ⋮ Set-valued increasing-along-rays maps and well-posed set-valued star-shaped optimization ⋮ Convergence of solutions to set optimization problems with the set less order relation ⋮ Semi-differentiability of the Marginal Mapping in Vector Optimization ⋮ Stability results for efficient solutions of vector optimization problems ⋮ Stability of efficient solutions to set optimization problems ⋮ Set convergence of non-convex vector optimization problem with variable ordering structure ⋮ Existence and Convergence of Optimal Points with Respect to Improvement Sets ⋮ A convergence for infinite dimensional vector valued functions ⋮ Convergence for vector optimization problems with variable ordering structure ⋮ Levitin-Polyak well-posedness in set optimization concerning Pareto efficiency ⋮ Axiomatic approach to approximate solutions in multiobjective optimization ⋮ Stability results for properly quasi convex vector optimization problems ⋮ Lower convergence of minimal sets in star-shaped vector optimization problems

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