Stability Analysis for Composite Optimization Problems and Parametric Variational Systems

2016/08/18 by Boris S. Mordukhovich, Mordukhovich, B. S., M. Ebrahim Sarabi +1 · 1 citation
Computer Science · Engineering · Mathematics · #49J52 #Advanced Optimization Algorithms Research #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis #Topology Optimization in Engineering

paper · pdf · doi:10.48550/arxiv.1608.06226

openalex publication_date 2016/08/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper aims to provide various applications for second-order variational analysis of extended-real-valued piecewise liner functions recently obtained in [1]. We mainly focus here on establishing relationships between full stability of local minimizers in composite optimization and Robinson's strong regularity of associated (linearized and nonlinearized) KKT systems. Finally, we address Lipschitzian stability of parametric variational systems with convex piecewise linear potentials.

Citations

• Local strong maximal monotonicity and full stability for parametric variational systems

Cited by

• Complete Characterizations of Well-Posedness in Parametric Composite Optimization

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