7 citations · 15 across the 13 of their papers we have counts for
4 papers · 1 filter
Complete Characterizations of Well-Posedness in Parametric Composite Optimization
Boris S. Mordukhovich, Peipei Tang, Chengjing Wang
This paper characterizes the well-posedness of Karush-Kuhn-Tucker system for perturbed composite optimization. Using the parabolic regularity, we introduce a novel second-order var…
An augmented Lagrangian method for strongly regular minimizers in a class of convex composite optimization problems
Chengjing Wang, Peipei Tang
In this paper, we study a class of convex composite optimization problems. We begin by characterizing the equivalence between the primal/dual strong second-order sufficient conditi…
Second-Order Characterizations of Tilt Stability in Composite Optimization
Boris S. Mordukhovich, Peipei Tang, Chengjing Wang
Tilt stability is a fundamental concept of variational analysis and optimization that plays a pivotal role in both theoretical issues and numerical computations. This paper investi…
Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization
Boris S. Mordukhovich, Peipei Tang, Chengjing Wang
This paper investigates a recently introduced notion of strong variational sufficiency in optimization problems whose importance has been highly recognized in optimization theory,…