Stability Analysis of Stochastic Generalized Equation via Brouwer’s Fixed Point Theorem
Joint Authors
Liu, Qiang
Lin, Shuang
Zhang, Liwei
Zhang, Jie
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-03-26
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Liu, Qiang& Zhang, Jie& Lin, Shuang& Zhang, Liwei. 2018. Stability Analysis of Stochastic Generalized Equation via Brouwer’s Fixed Point Theorem. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1209434
Modern Language Association (MLA)
Liu, Qiang…[et al.]. Stability Analysis of Stochastic Generalized Equation via Brouwer’s Fixed Point Theorem. Mathematical Problems in Engineering No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1209434
American Medical Association (AMA)
Liu, Qiang& Zhang, Jie& Lin, Shuang& Zhang, Liwei. Stability Analysis of Stochastic Generalized Equation via Brouwer’s Fixed Point Theorem. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1209434
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1209434