Metric Regularity of the Sum of Multifunctions and Applications

2013/04/30 by Huynh Van Ngai, Van Ngai, Huynh, Huu Tron Nguyen +3 · 1 citation
Computer Science · Immunology and Microbiology · Mathematics · #FOS: Mathematics #Macrophage Migration Inhibitory Factor #Nonlinear Partial Differential Equations #Optimization and Control (math.OC) #Optimization and Variational Analysis

paper · doi:10.48550/arxiv.1304.7892

openalex publication_date 2013/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work, we use the theory of error bounds to study metric regularity of the sum of two multifunctions, as well as some important properties of variational systems. We use an approach based on the metric regularity of epigraphical multifunctions. Our results subsume some recent results by Durea and Strugariu.

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