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pro vyhledávání: '"Van Ngai, Huynh"'
The paper deals with stochastic difference-of-convex functions (DC) programs, that is, optimization problems whose the cost function is a sum of a lower semicontinuous DC function and the expectation of a stochastic DC function with respect to a prob
Externí odkaz:
http://arxiv.org/abs/1911.04334
Akademický článek
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In this work, we use the theory of error bounds to study metric regularity of the sum of two multifunctions, as well as some important properties of variational systems. We use an approach based on the metric regularity of epigraphical multifunctions
Externí odkaz:
http://arxiv.org/abs/1304.7892
Autor:
Van Ngai, Huynh, Théra, Michel A.
In this paper, we study relative metric regularity of set-valued mappings with emphasis on directional metric regularity. We establish characterizations of relative metric regularity without assuming the completeness of the image spaces, by using the
Externí odkaz:
http://arxiv.org/abs/1304.7748
Autor:
Van Ngai, Huynh1 (AUTHOR) vanngaihuynh@gmail.com, Son, Ta Anh2 (AUTHOR)
Publikováno v:
Computational Optimization & Applications. Nov2022, Vol. 83 Issue 2, p615-649. 35p.
Publikováno v:
SIAM Journal on Optimization. 32:2263-2293
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 July 2016 439(1):396-418
Autor:
Van Ngai, Huynh, Théra, Michel
Publikováno v:
Mathematics of Operations Research, 2015 Nov 01. 40(4), 969-991.
Externí odkaz:
http://www.jstor.org/stable/24540987
Autor:
Van Ngai, Huynh, Tinh, Phan Nhat
Publikováno v:
Mathematics of Operations Research, 2015 Aug 01. 40(3), 703-724.
Externí odkaz:
http://www.jstor.org/stable/24540971
Publikováno v:
Journal of Global Optimization
Journal of Global Optimization, Springer Verlag, In press, ⟨10.1007/s10898-021-01043-w⟩
Journal of Global Optimization, Springer Verlag, In press, ⟨10.1007/s10898-021-01043-w⟩
DC (Difference of Convex functions) programming and DCA (DC Algorithm) play a key role in nonconvex programming framework. These tools have a rich and successful history of thirty five years of development, and the research in recent years is being i