Generic existence of solutions for some perturbed optimization problems

DOI10.1006/jmaa.1999.6675zbMath0957.49014OpenAlexW2037211721MaRDI QIDQ1974232

Ştefan Cobzaş

Publication date: 29 March 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6675

zbMATH Keywords

reflexive Banach spacelower-semicontinuous functionnearest pointsperturbed optimization problemsKadets property

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Methods involving semicontinuity and convergence; relaxation (49J45) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (16)

Porosity of perturbed optimization problems in Banach spaces ⋮ Existence and porosity for a class of perturbed optimization problems in Banach spaces ⋮ Limiting subdifferential calculus and perturbed distance function in Riemannian manifolds ⋮ Generic existence of solutions in vector optimization on metric spaces ⋮ Limiting subdifferentials of perturbed distance functions in Banach spaces ⋮ Well-posedness of a class of perturbed optimization problems in Banach spaces ⋮ Subdifferentials of perturbed distance function in Riemannian manifolds ⋮ Subdifferentials of perturbed distance functions in Banach spaces ⋮ Small sets in best approximation theory ⋮ Generic solutions for some perturbed optimization problem in non-reflexive Banach spaces ⋮ Generic well-posedness of minimization problems with mixed continuous constraints. ⋮ Nearest and farthest points in spaces of curvature bounded below ⋮ Generic well-posedness of minimization problems with mixed smooth constraints ⋮ Subdifferential regularities of perturbed distance functions outside the target set in Banach spaces ⋮ Subdifferentials of a perturbed minimal time function in normed spaces ⋮ Existence of solutions of a vector optimization problem with a generic lower semicontinuous objective function

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