Coincidence points of parameterized generalized equations with applications to optimal value functions

DOI10.1007/s10957-022-02140-wzbMath1506.49008arXiv2203.11435OpenAlexW4311344721MaRDI QIDQ2679563

Yanyan Li

Publication date: 23 January 2023

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.11435

zbMATH Keywords

parametric optimizationgeneralized equationsoptimal value functionscoincidence and implicit function theoremsvariational analysis and generalized differentiation

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Fixed-point theorems (47H10) Methods involving semicontinuity and convergence; relaxation (49J45)

Cites Work

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• Convex Analysis and Beyond
• Stability Theorems for Estimating the Distance to a Set of Coincidence Points
• Newton-Type Methods for Optimization and Variational Problems
• Implicit Functions and Solution Mappings
• Convex Analysis
• Hadamard’s theorem for mappings with relaxed smoothness conditions

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