Stability Analysis of Stochastic Generalized Equation via Brouwer's Fixed Point Theorem. (26th March 2018)

• Record Type: Journal Article
• Authors: Liu, Qiang; Zhang, Jie; Lin, Shuang; Zhang, Li-wei
• Other Names: Sadarangani Kishin Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2018(2018)
• Publication Date: 2018-03-26
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2018/8680540
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.