Quantitative Characterizations of Regularity Properties of Collections of Sets

Abstract

Several primal and dual characterizations of regularity properties of collections of sets in normed linear spaces are discussed. Relationships between regularity properties of collections of sets and those of set-valued mappings are provided.

References in corpus (3)

• Local Linear Convergence of Approximate Projections onto Regularized Sets
• Prox-regularity of rank constraint sets and implications for algorithms
• About [q]-regularity properties of collections of sets

Cited by in corpus (15)

• Transversality and alternating projections for nonconvex sets
• Quantitative convergence analysis of iterated expansive, set-valued mappings
• Set Regularities and Feasibility Problems
• About subtransversality of collections of sets
• Necessary conditions for linear convergence of iterated expansive, set-valued mappings with application to alternating projections
• On semiregularity of mappings
• About intrinsic transversality of pairs of sets
• Extremality, Stationarity and Generalized Separation of Collections of Sets
• Transversality Properties: Primal Sufficient Conditions
• About [q]-regularity properties of collections of sets
• The Radius of Metric Subregularity
• On tangential transversality
• About Extensions of the Extremal Principle
• Extremality of families of sets
• Necessary Conditions for Non-Intersection of Collections of Sets