552 citations · 1.2k across the 33 of their papers we have counts for
3 papers · 1 filter
About subtransversality of collections of sets
Alexander Y. Kruger, D. Russell Luke, Nguyen H. Thao
We provide dual sufficient conditions for subtransversality of collections of sets in an Asplund space setting. For the convex case, we formulate a necessary and sufficient dual cr…
Quantitative convergence analysis of iterated expansive, set-valued mappings
D. Russell Luke, Nguyen H. Thao, Matthew K. Tam
We develop a framework for quantitative convergence analysis of Picard iterations of expansive set-valued fixed point mappings. There are two key components of the analysis. The fi…
Set Regularities and Feasibility Problems
Alexander Y. Kruger, D. Russell Luke, Nguyen H. Thao
We synthesize and unify notions of regularity, both of individual sets and of collections of sets, as they appear in the convergence theory of projection methods for consistent fea…