83 citations · 490 across the 30 of their papers we have counts for
5 papers · 1 filter
Perturbation of error bounds
A. Y. Kruger, M. A. López, M. A. Théra
Our aim in the current article is to extend the developments in Kruger, Ngai & Théra, SIAM J. Optim. 20(6), 3280-3296 (2010) and, more precisely, to characterize, in the Banach spa…
Borwein-Preiss Vector Variational Principle
Alexander Y. Kruger, Somyot Plubtieng, Thidaporn Seangwattana
This article extends to the vector setting the results of our previous work Kruger et al. (2015) which refined and slightly strengthened the metric space version of the Borwein-Pre…
Borwein-Preiss Variational Principle Revisited
A. Y. Kruger, S. Plubtieng, T. Seangwattana
In this article, we refine and slightly strengthen the metric space version of the Borwein-Preiss variational principle due to Li, Shi, J. Math. Anal. Appl. 246, 308-319 (2000), cl…
Nonlinear Metric Subregularity
Alexander Y. Kruger
In this article, we investigate nonlinear metric subregularity properties of set-valued mappings between general metric or Banach spaces. We demonstrate that these properties can b…
Regularity of collections of sets and convergence of inexact alternating projections
Alexander Y. Kruger, Nguyen H. Thao
We study the usage of regularity properties of collections of sets in convergence analysis of alternating projection methods for solving feasibility problems. Several equivalent ch…