Perturbation Analysis of Error Bounds for Systems of Conic Linear Inequalities in Banach Spaces

DOI10.1137/03060179XzbMath1114.90134MaRDI QIDQ5317535

Xi Yin Zheng, Ng Kung-fu

Publication date: 16 September 2005

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

zbMATH Keywords

stabilitynormal coneerror boundabstract conic linear inequalityleast error bound

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Programming in abstract spaces (90C48)

Related Items (13)

Pseudo metric subregularity and its stability in asplund spaces ⋮ Perturbation analysis of global error bounds for piecewise linear conic inequalities ⋮ Characterizations of stability of error bounds for convex inequality constraint systems ⋮ Characterizing robust local error bounds for linear inequality systems under data uncertainty ⋮ Stability of error bounds for conic subsmooth inequalities ⋮ Radius theorems for subregularity in infinite dimensions ⋮ Error analysis of approximate solutions to parametric vector quasiequilibrium problems ⋮ Robust global error bounds for uncertain linear inequality systems with applications ⋮ Metric subregularity for subsmooth generalized constraint equations in Banach spaces ⋮ Error bound for conic inequality ⋮ Perturbation Analysis of Metric Subregularity for Multifunctions ⋮ Hölder continuity and upper estimates of solutions to vector quasiequilibrium problems ⋮ Extremality, stationarity and generalized separation of collections of sets

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