Pointwise and global well-posedness in set optimization: a direct approach

DOI10.1007/s10479-017-2709-7zbMath1476.90296OpenAlexW2770060446MaRDI QIDQ1730444

Mansi Dhingra, C. S. Lalitha, Giovanni Paolo Crespi

Publication date: 6 March 2019

Published in: Annals of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10479-017-2709-7

zbMATH Keywords

well-posednesscompactnessset optimizationupper continuity\(l\)-minimal solution

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31) Programming in abstract spaces (90C48)

Related Items (21)

Robust efficiency and well-posedness in uncertain vector optimization problems ⋮ Well-posedness and scalarization in set optimization involving ordering cones with possibly empty interior ⋮ Connectedness of weak minimal solution set for set optimization problems ⋮ Convergence of solutions to set optimization problems with the set less order relation ⋮ Hadamard well-posedness and stability in set optimization ⋮ Global well-posedness of set-valued optimization with application to uncertain problems ⋮ On global well-posedness of semi-infinite set optimization problems ⋮ Pointwise well-posedness of a set-valued optimization problem at a weak solution ⋮ Unnamed Item ⋮ Characterizations of generalized Levitin-Polyak well-posed set optimization problems ⋮ Unnamed Item ⋮ Arcwise connectedness of the solution sets for set optimization problems ⋮ Well-posedness and stability in set optimization with applications ⋮ 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 ⋮ Levitin-Polyak well-posedness for set optimization problems involving set order relations ⋮ Nonlinear scalarizing functions in set optimization problems ⋮ Approximate solutions and Levitin-Polyak well-posedness for set optimization using weak efficiency ⋮ Global Well-Posedness in Set Optimization ⋮ A note on pointwise well-posedness of set-valued optimization problems

Cites Work

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