Uniform subsmoothness and linear regularity for a collection of infinitely many closed sets

DOI10.1016/j.na.2010.03.032zbMath1188.90255OpenAlexW2068350722MaRDI QIDQ975841

Zhou Wei, Jen-Chih Yao, Xi Yin Zheng

Publication date: 11 June 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.03.032

zbMATH Keywords

metric regularityproperty (G)linear regularityCHIPstrong CHIPuniform subsmoothness

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Optimality conditions and duality in mathematical programming (90C46) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52)

Related Items

Primal necessary characterizations of transversality properties, Dual sufficient characterizations of transversality properties, On applications of the calmness moduli for multifunctions to error bounds, Set regularities and feasibility problems, Geometric and metric characterizations of transversality properties, Stationarity and regularity of infinite collections of sets, Metric projection and compatibly parameterized families of prox-regular sets in Hilbert space, Sufficient conditions for error bounds and linear regularity in Banach spaces, BCQ and strong BCQ for nonconvex generalized equations with applications to metric subregularity, About \([q\)-regularity properties of collections of sets], About intrinsic transversality of pairs of sets, About subtransversality of collections of sets, Strong Abadie CQ, ACQ, calmness and linear regularity, Quantitative characterizations of regularity properties of collections of sets, Transversality properties: primal sufficient conditions, Calmness and the Abadie CQ for Multifunctions and Linear Regularity for a Collection of Closed Sets, Normal property, Jameson property, CHIP and linear regularity for an infinite system of convex sets in Banach spaces

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