Partial Second-Order Subdifferentials in Variational Analysis and Optimization
Boris S. Mordukhovich, Nguyen Mau Nam, Nguyen Thi Yen Nhi · Numerical Functional Analysis and Optimization · 2014
This article presents a systematic study of partial second-order subdifferentials for extended-real-valued functions, which have already been applied to important issues of variational analysis and constrained optimization in finite-dimensional spaces. The main results concern developing extended calculus rules for these second-order constructions in both finite-dimensional and infinite-dimensional frameworks. We also provide new applications of partial second-order subdifferentials to Lipschitzian stability of stationary point mappings in parametric constrained optimization and discuss some other applications.