TAILIEUCHUNG - The GAP function of a parametric mixed strong vector quasivariational inequality problem
In this paper, we study a parametric gap function without the help of the nonlinear scalarization function for a parametric mixed strong vector quasivariational inequality problem (in short, (SQVIP)) in Hausdorff topological vector spaces. | 126 SCIENCE & TECHNOLOGY DEVELOPMENT, Vol 20, 2017 The GAP function of a parametric mixed strong vector quasivariational inequality problem Le Xuan Dai, Nguyen Van Hung, Phan Thanh Kieu Abstract— The parametric mixed strong vector quasivariational inequality problem contains many problems such as, variational inequality problems, fixed point problems, coincidence point problems, complementary problems etc. There are many authors who have been studied the gap functions for vector variational inequality problem. This problem plays an important role in many fields of applied mathematics, especially theory of optimization. In this paper, we study a parametric gap function without the help of the nonlinear scalarization function for a parametric mixed strong vector quasivariational inequality problem (in short, (SQVIP)) in Hausdorff topological vector spaces. (SQVIP) Find x K ( x, ) and z T ( x, ) such that f ( y , x, ) R n , y K ( x, ), n where we denote the nonnegative of R by R n = {t = (t1, t2 , , tn )T Rn
đang nạp các trang xem trước
