The stability and extended well-posedness of the solution sets for set optimization problems via the Painlevé-Kuratowski convergence
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Publication:2304913
DOI10.1007/s00186-019-00695-5zbMath1433.49038OpenAlexW2996366331MaRDI QIDQ2304913
Kai Zhang, Yu Han, Nan-Jing Huang
Publication date: 9 March 2020
Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00186-019-00695-5
Sensitivity, stability, well-posedness (49K40) Multi-objective and goal programming (90C29) Variational inequalities (49J40) Sensitivity, stability, parametric optimization (90C31) Programming in abstract spaces (90C48)
Related Items (12)
Connectedness of weak minimal solution set for set optimization problems ⋮ Convergence of the solution sets for set optimization problems ⋮ Painlevé–Kuratowski convergences of the solution sets for set optimization problems with cone-quasiconnectedness ⋮ Stability in set-valued optimization problems using asymptotic analysis and epi-convergence ⋮ Painlevé-Kuratowski convergence of minimal solutions for set-valued optimization problems via improvement sets ⋮ Hadamard well-posedness and stability in set optimization ⋮ Semicontinuity of the minimal solution mappings to parametric set optimization problems on Banach lattices ⋮ On global well-posedness of semi-infinite set optimization problems ⋮ Directional and approximate efficiency in set optimization ⋮ On Levitin-Polyak well-posedness and stability in set optimization ⋮ Levitin-Polyak well-posedness by perturbations for the split hemivariational inequality problem on Hadamard manifolds ⋮ Connectedness of the approximate solution sets for set optimization problems
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