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5 papers · 2 filters
Global Optimal Trajectory in Chaos and NP-Hardness
Vittorio Latorre, David Yang Gao
This paper presents a new canonical duality methodology for solving general nonlinear dynamical systems. Instead of the conventional iterative methods, the discretized nonlinear sy…
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…