About subtransversality of collections of sets

DOI10.1007/s11228-017-0436-5zbMath1383.49028arXiv1611.04787OpenAlexW2555812794MaRDI QIDQ683294

Alexander Y. Kruger, D. Russell Luke, Nguyen Hieu Thao

Publication date: 6 February 2018

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.04787

zbMATH Keywords

normal coneerror boundtransversalitylinear convergencemetric regularityalternating projectionsmetric subregularityintrinsic transversalitysubtransversality

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Sensitivity, stability, well-posedness (49K40) Nonlinear programming (90C30) Numerical optimization and variational techniques (65K10) Numerical methods based on necessary conditions (49M05) Set-valued and variational analysis (49J53) Numerical methods based on nonlinear programming (49M37)

Related Items (21)

Necessary conditions for non-intersection of collections of sets ⋮ Primal necessary characterizations of transversality properties ⋮ Dual sufficient characterizations of transversality properties ⋮ About extensions of the extremal principle ⋮ Some new characterizations of intrinsic transversality in Hilbert spaces ⋮ Set regularities and feasibility problems ⋮ Geometric and metric characterizations of transversality properties ⋮ The radius of metric subregularity ⋮ Directional and approximate efficiency in set optimization ⋮ Comparing Averaged Relaxed Cutters and Projection Methods: Theory and Examples ⋮ Special Issue dedicated to the 65th birthday of Alexander Kruger ⋮ About intrinsic transversality of pairs of sets ⋮ A convergent relaxation of the Douglas-Rachford algorithm ⋮ Unnamed Item ⋮ Transversality properties: primal sufficient conditions ⋮ Metric inequality conditions on sets and consequences in optimization ⋮ Necessary conditions for linear convergence of iterated expansive, set-valued mappings ⋮ Linear Convergence of Projection Algorithms ⋮ Extremality, stationarity and generalized separation of collections of sets ⋮ Calculus for directional limiting normal cones and subdifferentials ⋮ Phase Retrieval with Sparse Phase Constraint

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