Stability analysis of stochastic generalized equation via Brouwer's fixed point theorem

DOI10.1155/2018/8680540zbMath1427.90276OpenAlexW2791735938MaRDI QIDQ1721562

Qiang Liu, Shuang Lin, Jie Zhang, Li-wei Zhang

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/8680540

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Sensitivity, stability, well-posedness (49K40) Stochastic programming (90C15) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Cites Work

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• On the convergence of coderivative of SAA solution mapping for a parametric stochastic variational inequality
• Approximating stationary points of stochastic mathematical programs with equilibrium constraints via sample averaging
• On the convergence of coderivative of SAA solution mapping for a parametric stochastic generalized equation
• SAMPLE AVERAGE APPROXIMATION METHODS FOR A CLASS OF STOCHASTIC VARIATIONAL INEQUALITY PROBLEMS
• Lectures on Stochastic Programming
• Generalized equations: Solvability and regularity
• Generalized equations and their solutions, Part I: Basic theory
• Variational Analysis
• Asymptotic Theory for Solutions in Statistical Estimation and Stochastic Programming
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Stochastic Approximation Approaches to the Stochastic Variational Inequality Problem
• Quantitative Stability Analysis of Stochastic Generalized Equations
• Confidence Regions for Stochastic Variational Inequalities
• Sensitivity Analysis of Parameterized Variational Inequalities