Well-posedness of a class of perturbed optimization problems in Banach spaces

DOI10.1016/j.jmaa.2008.05.069zbMath1357.49103OpenAlexW2033552759MaRDI QIDQ936596

Chong Li, Jen-Chih Yao, Li Hui Peng

Publication date: 19 August 2008

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.05.069

zbMATH Keywords

well-posednessstrictly convex spaceperturbed optimization problem\(G_{\delta} \)-subsetKadec space

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (10)

Well-posedness of generalized vector quasivariational inequality problems ⋮ Generic uniqueness of equilibrium points ⋮ Limiting subdifferentials of perturbed distance functions in Banach spaces ⋮ Subdifferentials of perturbed distance function in Riemannian manifolds ⋮ Subdifferentials of perturbed distance functions in Banach spaces ⋮ Nearest and farthest points in spaces of curvature bounded below ⋮ Subdifferential regularities of perturbed distance functions outside the target set in Banach spaces ⋮ Subdifferentials of a perturbed minimal time function in normed spaces ⋮ Levitin-Polyak well-posedness of variational inequalities ⋮ Tykhonov well-posedness for quasi-equilibrium problems

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