Well-Posedness, Regularization, and Viscosity Solutions of Minimization Problems

DOI10.1007/978-81-322-1883-8_5zbMath1317.49036OpenAlexW189815912MaRDI QIDQ5259713

Publication date: 29 June 2015

Published in: Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-81-322-1883-8_5

zbMATH Keywords

well-posedness epi-convergence Tikhonov regularization viscosity solutions ill-posed inverse problems best approximants hierarchial minimization restricted Chebyshev centers

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Inverse problems in optimal control (49N45)

Cites Work

Well-posed optimization problems
Convergence of best approximations in a smooth Banach space
On approximate minima of a convex functional and lower semicontinuity of metric projections
On convergence of convex sets and relative Chebyshev centers
Strong uniqueness and Lipschitz continuity of metric projections: A generalization of the classical Haar theory
Relative Chebyshev centers in normed linear spaces. I
Metrically well-set minimization problems
A characterization of smooth normed linear spaces
Multioptimum of a convex functional
Restricted Chebyshev centers of bounded subsets in arbitrary Banach spaces
The Prox map
On generic well-posedness of restricted Chebyshev center problems in Banach spaces
Convergence of convex sets and of solutions of variational inequalities
Global approximation of a compact set by elements of a convex set in a normed space
A course on optimization and best approximation
On the continuity of the Young-Fenchel transform
Strong uniqueness of the restricted Chebyshev center with respect to an RS-set in a Banach space
On the Young-Fenchel Transform for Convex Functions
A Hausdorff Topology for the Closed Subsets of a Locally Compact Non-Hausdorff Space
Variational Analysis in Sobolev andBVSpaces
Strong Unicity of Restrictedp-Centers
Viscosity Solutions of Hamilton-Jacobi Equations
Existence Of Nearest Points In Banach Spaces
On Mosco convergence of convex sets
On stability of approximate solutions of minimization problems
APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
On simultaneous approximation
Topologies related to the prox map and the restricted center map
Viscosity Solutions of Minimization Problems
Sur l'analogie entre les méthodes de régularisation et de pénalisation
An Embedding Theorem for Spaces of Convex Sets
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