Generic solutions for some perturbed optimization problem in non-reflexive Banach spaces

DOI10.1016/j.jmaa.2004.03.069zbMath1061.49002OpenAlexW1987336027MaRDI QIDQ1763805

Ren-Xing Ni

Publication date: 22 February 2005

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.2004.03.069

zbMATH Keywords

best approximationperturbed problemswell-posed problemsgeneric existence

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Methods involving semicontinuity and convergence; relaxation (49J45) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Existence theories for problems in abstract spaces (49J27)

Related Items (9)

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 ⋮ 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 ⋮ Subdifferential regularities of perturbed distance functions outside the target set in Banach spaces ⋮ Subdifferentials of a perturbed minimal time function in normed spaces

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• Existence theorems for usual and approximate solutions of optimal control problems
• Generic existence of solutions for some perturbed optimization problems
• Nonconvex minimization problems
• Generic Frechet-Differentiability and Perturbed Optimization Problems in Banach Spaces

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