Subdifferentials of a perturbed minimal time function in normed spaces

DOI10.1007/s11590-013-0689-3zbMath1319.90078OpenAlexW1970584573MaRDI QIDQ742404

Yi Jiang, Yongle Zhang, Yi Ran He

Publication date: 18 September 2014

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-013-0689-3

zbMATH Keywords

subdifferentialssupport functionperturbed minimal time function

Mathematics Subject Classification ID

Programming in abstract spaces (90C48)

Related Items

Infimal convolution and optimal time control problem. I: Fréchet and proximal subdifferentials, A proximal method for solving nonlinear minmax location problems with perturbed minimal time functions via conjugate duality, Exact characterization for subdifferentials of a special optimal value function, Subgradients of Minimal Time Functions without Calmness, Generalized differentiation and characterizations for differentiability of infimal convolutions

Cites Work

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• Generic well-posedness for perturbed optimization problems in Banach spaces
• Limiting subdifferentials of perturbed distance functions in Banach spaces
• Well-posed optimization problems
• Porosity of perturbed optimization problems in Banach spaces
• Existence and porosity for a class of perturbed optimization problems in Banach spaces
• Well-posedness of a class of perturbed optimization problems in Banach spaces
• Subdifferentials of perturbed distance functions in Banach spaces
• On the Clarke subdifferential of the distance function of a closed set
• Generic solutions for some perturbed optimization problem in non-reflexive Banach spaces
• Existence theorems for usual and approximate solutions of optimal control problems
• Generic existence of solutions for some perturbed optimization problems
• Subdifferentials of a minimal time function in normed spaces
• Subdifferentials of a minimum time function in Banach spaces
• The subgradient formula for the minimal time function in the case of constant dynamics in Hilbert space
• Optimization and nonsmooth analysis
• Nonconvex Optimization Problems Depending on a Parameter
• On various notions of regularity of sets in nonsmooth analysis