Some characterizations of error bound for non-lower semicontinuous functions

DOI10.1186/s13660-019-1987-9zbMath1499.49053OpenAlexW2919928021MaRDI QIDQ2067750

Xiuping Wang, Dong-Ying Liang, Mian-Tao Chao

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-1987-9

zbMATH Keywords

convex functionerror boundsemicontinuous functionglobal slopstrong slop

Mathematics Subject Classification ID

Convex programming (90C25) Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52)

Cites Work

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• On the linear convergence of the alternating direction method of multipliers
• The restricted strong convexity revisited: analysis of equivalence to error bound and quadratic growth
• Nonlinear error bounds for lower semicontinuous functions on metric spaces
• Error bounds for systems of lower semicontinuous functions in Asplund spaces
• Error bounds: necessary and sufficient conditions
• Error bounds for analytic systems and their applications
• Error bounds in mathematical programming
• New error bounds and their applications to convergence analysis of iterative algorithms
• Sufficient conditions for error bounds and applications
• Error bound results for convex inequality systems via conjugate duality
• Global error bounds for piecewise convex polynomials
• Slopes of multifunctions and extensions of metric regularity
• Linear and nonlinear error bounds for lower semicontinuous functions
• Error Bounds for Lower Semicontinuous Functions in Normed Spaces
• On the Sensitivity Analysis of Hoffman Constants for Systems of Linear Inequalities
• Perturbation Analysis of Error Bounds for Quasi-subsmooth Inequalities and Semi-infinite Constraint Systems
• Error Bounds of Generalized D-Gap Functions for Nonsmooth and Nonmonotone Variational Inequality Problems
• Error Bounds in Metric Spaces and Application to the Perturbation Stability of Metric Regularity
• Nonconvex minimization problems
• On the Accurate Identification of Active Constraints
• A survey on error bounds for lower semicontinuous functions
• First-Order and Second-Order Conditions for Error Bounds
• On First- and Second-Order Conditions for Error Bounds
• Strong Convergence of Block-Iterative Outer Approximation Methods for Convex Optimization
• Strong CHIP, normality, and linear regularity of convex sets
• Characterizations of error bounds for lower semicontinuous functions on metric spaces
• Second‐Order Sufficient Conditions for Error Bounds in Banach Spaces

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