12 articles in this issue
Mikhail Valeryanovich Buiaun,Nicolai Petrovich Rakhvalov,T? Duy Phu?ng
In this paper, some numerical methods for solving differential-algebraic equations of the second order are considered. We give conditions under which the algorithms are stable and converge to the exact solution of the original problem. Nume... see more
Su Jin Cheon
In this paper, we deal with the approximate control-ability for the nonlinear functional differential equation governed by the variational inequality in Hilbert spaces and present a general theorems under which previous results easily follow. Th... see more
Nguy?n Huy Chiêu,Nguy?n Th? Qu?nh Trang
This note is a re-edited form of our presentation at the 8th Vietnam-Korea Workshop on Mathematical Optimisation Theory and Applications, December 8-10, 2011, University of Dalat, Dalat, Vietnam. It contains Borne our recent results on characterising... see more
Thái Doãn Chuong
We employ some advanced tools of variational analysis and generalised differentiation such as the nonsmooth version of Fermat's rule, the limiting sub-differential of maximum functions, and the sum rules for the Frechet and Mordukhovich sub-different... see more
Nguy?n Ð?nh,Tr?n H?ng Mo
A new kind of closedness conditions (CC) is introduced. Several Farkas-type results and their characterisations for nonconvex systems involving DC and composite functions are established under/via this condition. As applications, the results are appl... see more
Tr?n L?c Hùng
Ph?m Gia Hung,Lê Dung Muu
We extend the Tikhonov regularisation method widely used in optimisation and variational inequalities to pseudomonotone equilibrium problems. In this case, the Tikhonov regularised sub-problems have a unique solution only in the limit, but any T... see more
We investigate the inexact Tikhonov and proximal point regularisation methods for pseudomonotone equilibrium problems. In this ease, the regularised sub-problems may be not strongly monotone, even not pseudomonotone. However, any iterative ... see more
Nguy?n Th? Thu Huong,Tr?n Ninh Hoa,T? Duy Phu?ng,Nguy?n Ðông Yên
By a scalarization method, it is proved that both the Pareto solution set and the weak Pareto solution set of a bicriteria affine vector variational inequality have finitely many connected. components provided that a regularity condition is sati... see more
Nguy?n Th? Thu Huong,Phan Duy Khánh,Nguy?n Ðông Yên
Nguy?n Quang Huy,Jen Chih Yao
Jong Soo Jung
In this paper, we consider a general composite iterative algorithm for finding a common element of the set of solutions of a generalised mixed equilibrium problem, the set of fixed points of an infinite family of non-expansive mappings and the&n... see more