TY - JOUR
A2 - Sadarangani, Kishin
AU - Liu, Qiang
AU - Zhang, Jie
AU - Lin, Shuang
AU - Zhang, Li-wei
PY - 2018
DA - 2018/03/26
TI - Stability Analysis of Stochastic Generalized Equation via Brouwerâ€™s Fixed Point Theorem
SP - 8680540
VL - 2018
AB - The stochastic generalized equation provides a unifying methodology to study several important stochastic programming problems in engineering and economics. Under some metric regularity conditions, the quantitative stability analysis of solutions of a stochastic generalized equation with the variation of the probability measure is investigated via Brouwer’s fixed point theorem. In particular, the error bounds described by Hausdorff distance between the solution sets are established against the variation of the probability measure. The stability results obtained are finally applied to a stochastic conic programming.
SN - 1024-123X
UR - https://doi.org/10.1155/2018/8680540
DO - 10.1155/2018/8680540
JF - Mathematical Problems in Engineering
PB - Hindawi
KW -
ER -